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Finding the Third Proportional to 539,916 and 858,098

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Solution

The third proportional to 539,916 and 858,098 is: 1,363,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,916 : 858,098 = 858,098 : x
  2. Step 2: Convert to fraction form
    539,916/858,098 = 858,098/x
  3. Step 3: Cross multiply
    539,916x = 858,098 × 858,098
  4. Step 4: Simplify right side
    539,916x = 736,332,177,604
  5. Step 5: Solve for x
    x = 736,332,177,604/539,916
  6. Step 6: Final answer
    x = 1,363,790.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.