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Finding the Third Proportional to 379,854 and 887,427

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Solution

The third proportional to 379,854 and 887,427 is: 2,073,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,854 : 887,427 = 887,427 : x
  2. Step 2: Convert to fraction form
    379,854/887,427 = 887,427/x
  3. Step 3: Cross multiply
    379,854x = 887,427 × 887,427
  4. Step 4: Simplify right side
    379,854x = 787,526,680,329
  5. Step 5: Solve for x
    x = 787,526,680,329/379,854
  6. Step 6: Final answer
    x = 2,073,235.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.