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Finding the Third Proportional to 490,890,476.25 and 1,058,286,586.50

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Solution

The third proportional to 490,890,476.25 and 1,058,286,586.50 is: 2,281,507,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,890,476.25 : 1,058,286,586.50 = 1,058,286,586.50 : x
  2. Step 2: Convert to fraction form
    490,890,476.25/1,058,286,586.50 = 1,058,286,586.50/x
  3. Step 3: Cross multiply
    490,890,476.25x = 1,058,286,586.50 × 1,058,286,586.50
  4. Step 4: Simplify right side
    490,890,476.25x = 1,119,970,499,165,821,952
  5. Step 5: Solve for x
    x = 1,119,970,499,165,821,952/490,890,476.25
  6. Step 6: Final answer
    x = 2,281,507,899.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.