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Finding the Third Proportional to 1,957,189.50 and 4,217,491.13

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Solution

The third proportional to 1,957,189.50 and 4,217,491.13 is: 9,088,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,189.50 : 4,217,491.13 = 4,217,491.13 : x
  2. Step 2: Convert to fraction form
    1,957,189.50/4,217,491.13 = 4,217,491.13/x
  3. Step 3: Cross multiply
    1,957,189.50x = 4,217,491.13 × 4,217,491.13
  4. Step 4: Simplify right side
    1,957,189.50x = 17,787,231,389,453.77
  5. Step 5: Solve for x
    x = 17,787,231,389,453.77/1,957,189.50
  6. Step 6: Final answer
    x = 9,088,149.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.