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Finding the Third Proportional to 431,682 and 915,966

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Solution

The third proportional to 431,682 and 915,966 is: 1,943,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,682 : 915,966 = 915,966 : x
  2. Step 2: Convert to fraction form
    431,682/915,966 = 915,966/x
  3. Step 3: Cross multiply
    431,682x = 915,966 × 915,966
  4. Step 4: Simplify right side
    431,682x = 838,993,713,156
  5. Step 5: Solve for x
    x = 838,993,713,156/431,682
  6. Step 6: Final answer
    x = 1,943,545.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.