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Finding the Third Proportional to 913,912 and 1,422,864

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Solution

The third proportional to 913,912 and 1,422,864 is: 2,215,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,912 : 1,422,864 = 1,422,864 : x
  2. Step 2: Convert to fraction form
    913,912/1,422,864 = 1,422,864/x
  3. Step 3: Cross multiply
    913,912x = 1,422,864 × 1,422,864
  4. Step 4: Simplify right side
    913,912x = 2,024,541,962,496
  5. Step 5: Solve for x
    x = 2,024,541,962,496/913,912
  6. Step 6: Final answer
    x = 2,215,248.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.