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Finding the Third Proportional to 592,876 and 887,686

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Solution

The third proportional to 592,876 and 887,686 is: 1,329,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,876 : 887,686 = 887,686 : x
  2. Step 2: Convert to fraction form
    592,876/887,686 = 887,686/x
  3. Step 3: Cross multiply
    592,876x = 887,686 × 887,686
  4. Step 4: Simplify right side
    592,876x = 787,986,434,596
  5. Step 5: Solve for x
    x = 787,986,434,596/592,876
  6. Step 6: Final answer
    x = 1,329,091.47

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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.