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Finding the Third Proportional to 410,051 and 887,494

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Solution

The third proportional to 410,051 and 887,494 is: 1,920,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,051 : 887,494 = 887,494 : x
  2. Step 2: Convert to fraction form
    410,051/887,494 = 887,494/x
  3. Step 3: Cross multiply
    410,051x = 887,494 × 887,494
  4. Step 4: Simplify right side
    410,051x = 787,645,600,036
  5. Step 5: Solve for x
    x = 787,645,600,036/410,051
  6. Step 6: Final answer
    x = 1,920,847.89

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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.