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Finding the Third Proportional to 754,396 and 1,616,654

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Solution

The third proportional to 754,396 and 1,616,654 is: 3,464,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,396 : 1,616,654 = 1,616,654 : x
  2. Step 2: Convert to fraction form
    754,396/1,616,654 = 1,616,654/x
  3. Step 3: Cross multiply
    754,396x = 1,616,654 × 1,616,654
  4. Step 4: Simplify right side
    754,396x = 2,613,570,155,716
  5. Step 5: Solve for x
    x = 2,613,570,155,716/754,396
  6. Step 6: Final answer
    x = 3,464,453.89

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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.