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Finding the Third Proportional to 913,914 and 1,422,867

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Solution

The third proportional to 913,914 and 1,422,867 is: 2,215,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,914 : 1,422,867 = 1,422,867 : x
  2. Step 2: Convert to fraction form
    913,914/1,422,867 = 1,422,867/x
  3. Step 3: Cross multiply
    913,914x = 1,422,867 × 1,422,867
  4. Step 4: Simplify right side
    913,914x = 2,024,550,499,689
  5. Step 5: Solve for x
    x = 2,024,550,499,689/913,914
  6. Step 6: Final answer
    x = 2,215,252.75

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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.