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Finding the Third Proportional to 438,566 and 944,806

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Solution

The third proportional to 438,566 and 944,806 is: 2,035,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,566 : 944,806 = 944,806 : x
  2. Step 2: Convert to fraction form
    438,566/944,806 = 944,806/x
  3. Step 3: Cross multiply
    438,566x = 944,806 × 944,806
  4. Step 4: Simplify right side
    438,566x = 892,658,377,636
  5. Step 5: Solve for x
    x = 892,658,377,636/438,566
  6. Step 6: Final answer
    x = 2,035,402.60

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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.