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Finding the Third Proportional to 438,916 and 944,420

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Solution

The third proportional to 438,916 and 944,420 is: 2,032,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,916 : 944,420 = 944,420 : x
  2. Step 2: Convert to fraction form
    438,916/944,420 = 944,420/x
  3. Step 3: Cross multiply
    438,916x = 944,420 × 944,420
  4. Step 4: Simplify right side
    438,916x = 891,929,136,400
  5. Step 5: Solve for x
    x = 891,929,136,400/438,916
  6. Step 6: Final answer
    x = 2,032,118.07

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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.