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Finding the Third Proportional to 438,502 and 944,684

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Solution

The third proportional to 438,502 and 944,684 is: 2,035,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,502 : 944,684 = 944,684 : x
  2. Step 2: Convert to fraction form
    438,502/944,684 = 944,684/x
  3. Step 3: Cross multiply
    438,502x = 944,684 × 944,684
  4. Step 4: Simplify right side
    438,502x = 892,427,859,856
  5. Step 5: Solve for x
    x = 892,427,859,856/438,502
  6. Step 6: Final answer
    x = 2,035,173.98

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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.