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Finding the Third Proportional to 410,027 and 887,446

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Solution

The third proportional to 410,027 and 887,446 is: 1,920,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027 : 887,446 = 887,446 : x
  2. Step 2: Convert to fraction form
    410,027/887,446 = 887,446/x
  3. Step 3: Cross multiply
    410,027x = 887,446 × 887,446
  4. Step 4: Simplify right side
    410,027x = 787,560,402,916
  5. Step 5: Solve for x
    x = 787,560,402,916/410,027
  6. Step 6: Final answer
    x = 1,920,752.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.