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Finding the Third Proportional to 438,584 and 944,842

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Solution

The third proportional to 438,584 and 944,842 is: 2,035,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,584 : 944,842 = 944,842 : x
  2. Step 2: Convert to fraction form
    438,584/944,842 = 944,842/x
  3. Step 3: Cross multiply
    438,584x = 944,842 × 944,842
  4. Step 4: Simplify right side
    438,584x = 892,726,404,964
  5. Step 5: Solve for x
    x = 892,726,404,964/438,584
  6. Step 6: Final answer
    x = 2,035,474.17

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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.