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Finding the Third Proportional to 592,868 and 887,674

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Solution

The third proportional to 592,868 and 887,674 is: 1,329,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,868 : 887,674 = 887,674 : x
  2. Step 2: Convert to fraction form
    592,868/887,674 = 887,674/x
  3. Step 3: Cross multiply
    592,868x = 887,674 × 887,674
  4. Step 4: Simplify right side
    592,868x = 787,965,130,276
  5. Step 5: Solve for x
    x = 787,965,130,276/592,868
  6. Step 6: Final answer
    x = 1,329,073.47

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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.