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Finding the Third Proportional to 732,447 and 1,604,537

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Solution

The third proportional to 732,447 and 1,604,537 is: 3,514,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,447 : 1,604,537 = 1,604,537 : x
  2. Step 2: Convert to fraction form
    732,447/1,604,537 = 1,604,537/x
  3. Step 3: Cross multiply
    732,447x = 1,604,537 × 1,604,537
  4. Step 4: Simplify right side
    732,447x = 2,574,538,984,369
  5. Step 5: Solve for x
    x = 2,574,538,984,369/732,447
  6. Step 6: Final answer
    x = 3,514,983.32

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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.