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Finding the Third Proportional to 1,017,695 and 1,382,115

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Solution

The third proportional to 1,017,695 and 1,382,115 is: 1,877,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,695 : 1,382,115 = 1,382,115 : x
  2. Step 2: Convert to fraction form
    1,017,695/1,382,115 = 1,382,115/x
  3. Step 3: Cross multiply
    1,017,695x = 1,382,115 × 1,382,115
  4. Step 4: Simplify right side
    1,017,695x = 1,910,241,873,225
  5. Step 5: Solve for x
    x = 1,910,241,873,225/1,017,695
  6. Step 6: Final answer
    x = 1,877,027.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.