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Finding the Third Proportional to 732,834 and 1,614,748.50

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Solution

The third proportional to 732,834 and 1,614,748.50 is: 3,557,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,834 : 1,614,748.50 = 1,614,748.50 : x
  2. Step 2: Convert to fraction form
    732,834/1,614,748.50 = 1,614,748.50/x
  3. Step 3: Cross multiply
    732,834x = 1,614,748.50 × 1,614,748.50
  4. Step 4: Simplify right side
    732,834x = 2,607,412,718,252.25
  5. Step 5: Solve for x
    x = 2,607,412,718,252.25/732,834
  6. Step 6: Final answer
    x = 3,557,985.46

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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.