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Finding the Third Proportional to 1,189,545.75 and 1,795,344.75

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Solution

The third proportional to 1,189,545.75 and 1,795,344.75 is: 2,709,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,545.75 : 1,795,344.75 = 1,795,344.75 : x
  2. Step 2: Convert to fraction form
    1,189,545.75/1,795,344.75 = 1,795,344.75/x
  3. Step 3: Cross multiply
    1,189,545.75x = 1,795,344.75 × 1,795,344.75
  4. Step 4: Simplify right side
    1,189,545.75x = 3,223,262,771,352.56
  5. Step 5: Solve for x
    x = 3,223,262,771,352.56/1,189,545.75
  6. Step 6: Final answer
    x = 2,709,658.52

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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.