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Finding the Third Proportional to 913,444 and 1,962,966

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Solution

The third proportional to 913,444 and 1,962,966 is: 4,218,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,444 : 1,962,966 = 1,962,966 : x
  2. Step 2: Convert to fraction form
    913,444/1,962,966 = 1,962,966/x
  3. Step 3: Cross multiply
    913,444x = 1,962,966 × 1,962,966
  4. Step 4: Simplify right side
    913,444x = 3,853,235,517,156
  5. Step 5: Solve for x
    x = 3,853,235,517,156/913,444
  6. Step 6: Final answer
    x = 4,218,359.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.