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Finding the Third Proportional to 625,022 and 884,980

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Solution

The third proportional to 625,022 and 884,980 is: 1,253,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,022 : 884,980 = 884,980 : x
  2. Step 2: Convert to fraction form
    625,022/884,980 = 884,980/x
  3. Step 3: Cross multiply
    625,022x = 884,980 × 884,980
  4. Step 4: Simplify right side
    625,022x = 783,189,600,400
  5. Step 5: Solve for x
    x = 783,189,600,400/625,022
  6. Step 6: Final answer
    x = 1,253,059.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.