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Finding the Third Proportional to 539,778 and 1,154,298

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Solution

The third proportional to 539,778 and 1,154,298 is: 2,468,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,778 : 1,154,298 = 1,154,298 : x
  2. Step 2: Convert to fraction form
    539,778/1,154,298 = 1,154,298/x
  3. Step 3: Cross multiply
    539,778x = 1,154,298 × 1,154,298
  4. Step 4: Simplify right side
    539,778x = 1,332,403,872,804
  5. Step 5: Solve for x
    x = 1,332,403,872,804/539,778
  6. Step 6: Final answer
    x = 2,468,429.38

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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.