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Finding the Third Proportional to 625,017 and 884,973

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Solution

The third proportional to 625,017 and 884,973 is: 1,253,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,017 : 884,973 = 884,973 : x
  2. Step 2: Convert to fraction form
    625,017/884,973 = 884,973/x
  3. Step 3: Cross multiply
    625,017x = 884,973 × 884,973
  4. Step 4: Simplify right side
    625,017x = 783,177,210,729
  5. Step 5: Solve for x
    x = 783,177,210,729/625,017
  6. Step 6: Final answer
    x = 1,253,049.45

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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.