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Finding the Third Proportional to 1,098,086 and 2,371,132

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Solution

The third proportional to 1,098,086 and 2,371,132 is: 5,120,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,086 : 2,371,132 = 2,371,132 : x
  2. Step 2: Convert to fraction form
    1,098,086/2,371,132 = 2,371,132/x
  3. Step 3: Cross multiply
    1,098,086x = 2,371,132 × 2,371,132
  4. Step 4: Simplify right side
    1,098,086x = 5,622,266,961,424
  5. Step 5: Solve for x
    x = 5,622,266,961,424/1,098,086
  6. Step 6: Final answer
    x = 5,120,060.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.