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Finding the Third Proportional to 717,463,190.25 and 1,025,973,583.88

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Solution

The third proportional to 717,463,190.25 and 1,025,973,583.88 is: 1,467,143,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,463,190.25 : 1,025,973,583.88 = 1,025,973,583.88 : x
  2. Step 2: Convert to fraction form
    717,463,190.25/1,025,973,583.88 = 1,025,973,583.88/x
  3. Step 3: Cross multiply
    717,463,190.25x = 1,025,973,583.88 × 1,025,973,583.88
  4. Step 4: Simplify right side
    717,463,190.25x = 1,052,621,794,809,311,616
  5. Step 5: Solve for x
    x = 1,052,621,794,809,311,616/717,463,190.25
  6. Step 6: Final answer
    x = 1,467,143,972.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.