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Finding the Third Proportional to 732,811.50 and 1,614,709.13

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Solution

The third proportional to 732,811.50 and 1,614,709.13 is: 3,557,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,811.50 : 1,614,709.13 = 1,614,709.13 : x
  2. Step 2: Convert to fraction form
    732,811.50/1,614,709.13 = 1,614,709.13/x
  3. Step 3: Cross multiply
    732,811.50x = 1,614,709.13 × 1,614,709.13
  4. Step 4: Simplify right side
    732,811.50x = 2,607,285,558,358.27
  5. Step 5: Solve for x
    x = 2,607,285,558,358.27/732,811.50
  6. Step 6: Final answer
    x = 3,557,921.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.