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Finding the Third Proportional to 442,677 and 967,931

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Solution

The third proportional to 442,677 and 967,931 is: 2,116,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,677 : 967,931 = 967,931 : x
  2. Step 2: Convert to fraction form
    442,677/967,931 = 967,931/x
  3. Step 3: Cross multiply
    442,677x = 967,931 × 967,931
  4. Step 4: Simplify right side
    442,677x = 936,890,420,761
  5. Step 5: Solve for x
    x = 936,890,420,761/442,677
  6. Step 6: Final answer
    x = 2,116,419.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.