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Finding the Third Proportional to 813,960 and 1,767,996

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Solution

The third proportional to 813,960 and 1,767,996 is: 3,840,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,960 : 1,767,996 = 1,767,996 : x
  2. Step 2: Convert to fraction form
    813,960/1,767,996 = 1,767,996/x
  3. Step 3: Cross multiply
    813,960x = 1,767,996 × 1,767,996
  4. Step 4: Simplify right side
    813,960x = 3,125,809,856,016
  5. Step 5: Solve for x
    x = 3,125,809,856,016/813,960
  6. Step 6: Final answer
    x = 3,840,249.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.