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Finding the Third Proportional to 739,998 and 1,107,027

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Solution

The third proportional to 739,998 and 1,107,027 is: 1,656,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,998 : 1,107,027 = 1,107,027 : x
  2. Step 2: Convert to fraction form
    739,998/1,107,027 = 1,107,027/x
  3. Step 3: Cross multiply
    739,998x = 1,107,027 × 1,107,027
  4. Step 4: Simplify right side
    739,998x = 1,225,508,778,729
  5. Step 5: Solve for x
    x = 1,225,508,778,729/739,998
  6. Step 6: Final answer
    x = 1,656,097.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.