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Finding the Third Proportional to 1,500,643.50 and 3,285,912

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Solution

The third proportional to 1,500,643.50 and 3,285,912 is: 7,195,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,643.50 : 3,285,912 = 3,285,912 : x
  2. Step 2: Convert to fraction form
    1,500,643.50/3,285,912 = 3,285,912/x
  3. Step 3: Cross multiply
    1,500,643.50x = 3,285,912 × 3,285,912
  4. Step 4: Simplify right side
    1,500,643.50x = 10,797,217,671,744
  5. Step 5: Solve for x
    x = 10,797,217,671,744/1,500,643.50
  6. Step 6: Final answer
    x = 7,195,058.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.