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Finding the Third Proportional to 913,101 and 1,419,387

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Solution

The third proportional to 913,101 and 1,419,387 is: 2,206,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,101 : 1,419,387 = 1,419,387 : x
  2. Step 2: Convert to fraction form
    913,101/1,419,387 = 1,419,387/x
  3. Step 3: Cross multiply
    913,101x = 1,419,387 × 1,419,387
  4. Step 4: Simplify right side
    913,101x = 2,014,659,455,769
  5. Step 5: Solve for x
    x = 2,014,659,455,769/913,101
  6. Step 6: Final answer
    x = 2,206,392.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.