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Finding the Third Proportional to 539,748 and 792,126

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Solution

The third proportional to 539,748 and 792,126 is: 1,162,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,748 : 792,126 = 792,126 : x
  2. Step 2: Convert to fraction form
    539,748/792,126 = 792,126/x
  3. Step 3: Cross multiply
    539,748x = 792,126 × 792,126
  4. Step 4: Simplify right side
    539,748x = 627,463,599,876
  5. Step 5: Solve for x
    x = 627,463,599,876/539,748
  6. Step 6: Final answer
    x = 1,162,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.