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Finding the Third Proportional to 438,876 and 944,352

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Solution

The third proportional to 438,876 and 944,352 is: 2,032,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,876 : 944,352 = 944,352 : x
  2. Step 2: Convert to fraction form
    438,876/944,352 = 944,352/x
  3. Step 3: Cross multiply
    438,876x = 944,352 × 944,352
  4. Step 4: Simplify right side
    438,876x = 891,800,699,904
  5. Step 5: Solve for x
    x = 891,800,699,904/438,876
  6. Step 6: Final answer
    x = 2,032,010.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.