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Finding the Third Proportional to 1,431,342 and 3,086,868

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Solution

The third proportional to 1,431,342 and 3,086,868 is: 6,657,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,342 : 3,086,868 = 3,086,868 : x
  2. Step 2: Convert to fraction form
    1,431,342/3,086,868 = 3,086,868/x
  3. Step 3: Cross multiply
    1,431,342x = 3,086,868 × 3,086,868
  4. Step 4: Simplify right side
    1,431,342x = 9,528,754,049,424
  5. Step 5: Solve for x
    x = 9,528,754,049,424/1,431,342
  6. Step 6: Final answer
    x = 6,657,216.83

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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.