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Finding the Third Proportional to 437,932 and 944,228

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Solution

The third proportional to 437,932 and 944,228 is: 2,035,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,932 : 944,228 = 944,228 : x
  2. Step 2: Convert to fraction form
    437,932/944,228 = 944,228/x
  3. Step 3: Cross multiply
    437,932x = 944,228 × 944,228
  4. Step 4: Simplify right side
    437,932x = 891,566,515,984
  5. Step 5: Solve for x
    x = 891,566,515,984/437,932
  6. Step 6: Final answer
    x = 2,035,856.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.