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Finding the Third Proportional to 2,582,287 and 5,655,414

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Solution

The third proportional to 2,582,287 and 5,655,414 is: 12,385,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,287 : 5,655,414 = 5,655,414 : x
  2. Step 2: Convert to fraction form
    2,582,287/5,655,414 = 5,655,414/x
  3. Step 3: Cross multiply
    2,582,287x = 5,655,414 × 5,655,414
  4. Step 4: Simplify right side
    2,582,287x = 31,983,707,511,396
  5. Step 5: Solve for x
    x = 31,983,707,511,396/2,582,287
  6. Step 6: Final answer
    x = 12,385,806.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.