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Finding the Third Proportional to 539,586 and 1,165,626

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Solution

The third proportional to 539,586 and 1,165,626 is: 2,518,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,586 : 1,165,626 = 1,165,626 : x
  2. Step 2: Convert to fraction form
    539,586/1,165,626 = 1,165,626/x
  3. Step 3: Cross multiply
    539,586x = 1,165,626 × 1,165,626
  4. Step 4: Simplify right side
    539,586x = 1,358,683,971,876
  5. Step 5: Solve for x
    x = 1,358,683,971,876/539,586
  6. Step 6: Final answer
    x = 2,518,011.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.