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Finding the Third Proportional to 442,671 and 948,466

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Solution

The third proportional to 442,671 and 948,466 is: 2,032,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,671 : 948,466 = 948,466 : x
  2. Step 2: Convert to fraction form
    442,671/948,466 = 948,466/x
  3. Step 3: Cross multiply
    442,671x = 948,466 × 948,466
  4. Step 4: Simplify right side
    442,671x = 899,587,753,156
  5. Step 5: Solve for x
    x = 899,587,753,156/442,671
  6. Step 6: Final answer
    x = 2,032,181.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.