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Finding the Third Proportional to 438,549 and 944,774

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Solution

The third proportional to 438,549 and 944,774 is: 2,035,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,549 : 944,774 = 944,774 : x
  2. Step 2: Convert to fraction form
    438,549/944,774 = 944,774/x
  3. Step 3: Cross multiply
    438,549x = 944,774 × 944,774
  4. Step 4: Simplify right side
    438,549x = 892,597,911,076
  5. Step 5: Solve for x
    x = 892,597,911,076/438,549
  6. Step 6: Final answer
    x = 2,035,343.62

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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.