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Finding the Third Proportional to 438,864 and 944,328

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Solution

The third proportional to 438,864 and 944,328 is: 2,031,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,864 : 944,328 = 944,328 : x
  2. Step 2: Convert to fraction form
    438,864/944,328 = 944,328/x
  3. Step 3: Cross multiply
    438,864x = 944,328 × 944,328
  4. Step 4: Simplify right side
    438,864x = 891,755,371,584
  5. Step 5: Solve for x
    x = 891,755,371,584/438,864
  6. Step 6: Final answer
    x = 2,031,962.91

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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.