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Finding the Third Proportional to 732,430 and 1,604,500

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Solution

The third proportional to 732,430 and 1,604,500 is: 3,514,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,430 : 1,604,500 = 1,604,500 : x
  2. Step 2: Convert to fraction form
    732,430/1,604,500 = 1,604,500/x
  3. Step 3: Cross multiply
    732,430x = 1,604,500 × 1,604,500
  4. Step 4: Simplify right side
    732,430x = 2,574,420,250,000
  5. Step 5: Solve for x
    x = 2,574,420,250,000/732,430
  6. Step 6: Final answer
    x = 3,514,902.79

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