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Finding the Third Proportional to 1,198,952 and 2,567,948

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Solution

The third proportional to 1,198,952 and 2,567,948 is: 5,500,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,952 : 2,567,948 = 2,567,948 : x
  2. Step 2: Convert to fraction form
    1,198,952/2,567,948 = 2,567,948/x
  3. Step 3: Cross multiply
    1,198,952x = 2,567,948 × 2,567,948
  4. Step 4: Simplify right side
    1,198,952x = 6,594,356,930,704
  5. Step 5: Solve for x
    x = 6,594,356,930,704/1,198,952
  6. Step 6: Final answer
    x = 5,500,100.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.