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Finding the Third Proportional to 1,097,874 and 1,646,811

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Solution

The third proportional to 1,097,874 and 1,646,811 is: 2,470,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,874 : 1,646,811 = 1,646,811 : x
  2. Step 2: Convert to fraction form
    1,097,874/1,646,811 = 1,646,811/x
  3. Step 3: Cross multiply
    1,097,874x = 1,646,811 × 1,646,811
  4. Step 4: Simplify right side
    1,097,874x = 2,711,986,469,721
  5. Step 5: Solve for x
    x = 2,711,986,469,721/1,097,874
  6. Step 6: Final answer
    x = 2,470,216.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.