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Finding the Third Proportional to 1,368,451.97 and 1,971,211.78

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Solution

The third proportional to 1,368,451.97 and 1,971,211.78 is: 2,839,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,451.97 : 1,971,211.78 = 1,971,211.78 : x
  2. Step 2: Convert to fraction form
    1,368,451.97/1,971,211.78 = 1,971,211.78/x
  3. Step 3: Cross multiply
    1,368,451.97x = 1,971,211.78 × 1,971,211.78
  4. Step 4: Simplify right side
    1,368,451.97x = 3,885,675,886,538.80
  5. Step 5: Solve for x
    x = 3,885,675,886,538.80/1,368,451.97
  6. Step 6: Final answer
    x = 2,839,468.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.