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Finding the Third Proportional to 1,492,893.75 and 2,251,713.38

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Solution

The third proportional to 1,492,893.75 and 2,251,713.38 is: 3,396,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,893.75 : 2,251,713.38 = 2,251,713.38 : x
  2. Step 2: Convert to fraction form
    1,492,893.75/2,251,713.38 = 2,251,713.38/x
  3. Step 3: Cross multiply
    1,492,893.75x = 2,251,713.38 × 2,251,713.38
  4. Step 4: Simplify right side
    1,492,893.75x = 5,070,213,123,153.89
  5. Step 5: Solve for x
    x = 5,070,213,123,153.89/1,492,893.75
  6. Step 6: Final answer
    x = 3,396,231.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.