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Finding the Third Proportional to 956,922 and 1,541,811

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Solution

The third proportional to 956,922 and 1,541,811 is: 2,484,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,922 : 1,541,811 = 1,541,811 : x
  2. Step 2: Convert to fraction form
    956,922/1,541,811 = 1,541,811/x
  3. Step 3: Cross multiply
    956,922x = 1,541,811 × 1,541,811
  4. Step 4: Simplify right side
    956,922x = 2,377,181,159,721
  5. Step 5: Solve for x
    x = 2,377,181,159,721/956,922
  6. Step 6: Final answer
    x = 2,484,195.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.