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Finding the Third Proportional to 825,471 and 1,788,339

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Solution

The third proportional to 825,471 and 1,788,339 is: 3,874,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,471 : 1,788,339 = 1,788,339 : x
  2. Step 2: Convert to fraction form
    825,471/1,788,339 = 1,788,339/x
  3. Step 3: Cross multiply
    825,471x = 1,788,339 × 1,788,339
  4. Step 4: Simplify right side
    825,471x = 3,198,156,378,921
  5. Step 5: Solve for x
    x = 3,198,156,378,921/825,471
  6. Step 6: Final answer
    x = 3,874,341.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.