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Finding the Third Proportional to 732,403.31 and 1,604,446.31

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Solution

The third proportional to 732,403.31 and 1,604,446.31 is: 3,514,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,403.31 : 1,604,446.31 = 1,604,446.31 : x
  2. Step 2: Convert to fraction form
    732,403.31/1,604,446.31 = 1,604,446.31/x
  3. Step 3: Cross multiply
    732,403.31x = 1,604,446.31 × 1,604,446.31
  4. Step 4: Simplify right side
    732,403.31x = 2,574,247,969,694.85
  5. Step 5: Solve for x
    x = 2,574,247,969,694.85/732,403.31
  6. Step 6: Final answer
    x = 3,514,795.64

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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.