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Finding the Third Proportional to 638,215 and 944,706

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Solution

The third proportional to 638,215 and 944,706 is: 1,398,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,215 : 944,706 = 944,706 : x
  2. Step 2: Convert to fraction form
    638,215/944,706 = 944,706/x
  3. Step 3: Cross multiply
    638,215x = 944,706 × 944,706
  4. Step 4: Simplify right side
    638,215x = 892,469,426,436
  5. Step 5: Solve for x
    x = 892,469,426,436/638,215
  6. Step 6: Final answer
    x = 1,398,383.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.