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Finding the Third Proportional to 1,093,747.50 and 1,711,860.75

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Solution

The third proportional to 1,093,747.50 and 1,711,860.75 is: 2,679,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,747.50 : 1,711,860.75 = 1,711,860.75 : x
  2. Step 2: Convert to fraction form
    1,093,747.50/1,711,860.75 = 1,711,860.75/x
  3. Step 3: Cross multiply
    1,093,747.50x = 1,711,860.75 × 1,711,860.75
  4. Step 4: Simplify right side
    1,093,747.50x = 2,930,467,227,390.56
  5. Step 5: Solve for x
    x = 2,930,467,227,390.56/1,093,747.50
  6. Step 6: Final answer
    x = 2,679,290.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.