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Finding the Third Proportional to 438,282 and 950,868

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Solution

The third proportional to 438,282 and 950,868 is: 2,062,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,282 : 950,868 = 950,868 : x
  2. Step 2: Convert to fraction form
    438,282/950,868 = 950,868/x
  3. Step 3: Cross multiply
    438,282x = 950,868 × 950,868
  4. Step 4: Simplify right side
    438,282x = 904,149,953,424
  5. Step 5: Solve for x
    x = 904,149,953,424/438,282
  6. Step 6: Final answer
    x = 2,062,941.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.