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Finding the Third Proportional to 732,408 and 1,604,457

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Solution

The third proportional to 732,408 and 1,604,457 is: 3,514,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,408 : 1,604,457 = 1,604,457 : x
  2. Step 2: Convert to fraction form
    732,408/1,604,457 = 1,604,457/x
  3. Step 3: Cross multiply
    732,408x = 1,604,457 × 1,604,457
  4. Step 4: Simplify right side
    732,408x = 2,574,282,264,849
  5. Step 5: Solve for x
    x = 2,574,282,264,849/732,408
  6. Step 6: Final answer
    x = 3,514,819.97

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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.