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Finding the Third Proportional to 754,387.13 and 1,616,638.13

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Solution

The third proportional to 754,387.13 and 1,616,638.13 is: 3,464,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,387.13 : 1,616,638.13 = 1,616,638.13 : x
  2. Step 2: Convert to fraction form
    754,387.13/1,616,638.13 = 1,616,638.13/x
  3. Step 3: Cross multiply
    754,387.13x = 1,616,638.13 × 1,616,638.13
  4. Step 4: Simplify right side
    754,387.13x = 2,613,518,827,203.52
  5. Step 5: Solve for x
    x = 2,613,518,827,203.52/754,387.13
  6. Step 6: Final answer
    x = 3,464,426.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.