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Finding the Third Proportional to 422,849 and 887,217

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Solution

The third proportional to 422,849 and 887,217 is: 1,861,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,849 : 887,217 = 887,217 : x
  2. Step 2: Convert to fraction form
    422,849/887,217 = 887,217/x
  3. Step 3: Cross multiply
    422,849x = 887,217 × 887,217
  4. Step 4: Simplify right side
    422,849x = 787,154,005,089
  5. Step 5: Solve for x
    x = 787,154,005,089/422,849
  6. Step 6: Final answer
    x = 1,861,548.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.