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Finding the Third Proportional to 438,536 and 944,748

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Solution

The third proportional to 438,536 and 944,748 is: 2,035,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,536 : 944,748 = 944,748 : x
  2. Step 2: Convert to fraction form
    438,536/944,748 = 944,748/x
  3. Step 3: Cross multiply
    438,536x = 944,748 × 944,748
  4. Step 4: Simplify right side
    438,536x = 892,548,783,504
  5. Step 5: Solve for x
    x = 892,548,783,504/438,536
  6. Step 6: Final answer
    x = 2,035,291.93

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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.