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Finding the Third Proportional to 749,864 and 1,619,504

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Solution

The third proportional to 749,864 and 1,619,504 is: 3,497,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,864 : 1,619,504 = 1,619,504 : x
  2. Step 2: Convert to fraction form
    749,864/1,619,504 = 1,619,504/x
  3. Step 3: Cross multiply
    749,864x = 1,619,504 × 1,619,504
  4. Step 4: Simplify right side
    749,864x = 2,622,793,206,016
  5. Step 5: Solve for x
    x = 2,622,793,206,016/749,864
  6. Step 6: Final answer
    x = 3,497,691.86

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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.