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Finding the Third Proportional to 539,622 and 791,937

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Solution

The third proportional to 539,622 and 791,937 is: 1,162,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,622 : 791,937 = 791,937 : x
  2. Step 2: Convert to fraction form
    539,622/791,937 = 791,937/x
  3. Step 3: Cross multiply
    539,622x = 791,937 × 791,937
  4. Step 4: Simplify right side
    539,622x = 627,164,211,969
  5. Step 5: Solve for x
    x = 627,164,211,969/539,622
  6. Step 6: Final answer
    x = 1,162,228.77

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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.