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Finding the Third Proportional to 592,870 and 887,677

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Solution

The third proportional to 592,870 and 887,677 is: 1,329,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,870 : 887,677 = 887,677 : x
  2. Step 2: Convert to fraction form
    592,870/887,677 = 887,677/x
  3. Step 3: Cross multiply
    592,870x = 887,677 × 887,677
  4. Step 4: Simplify right side
    592,870x = 787,970,456,329
  5. Step 5: Solve for x
    x = 787,970,456,329/592,870
  6. Step 6: Final answer
    x = 1,329,077.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.