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Finding the Third Proportional to 972,121.50 and 2,006,299.13

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Solution

The third proportional to 972,121.50 and 2,006,299.13 is: 4,140,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,121.50 : 2,006,299.13 = 2,006,299.13 : x
  2. Step 2: Convert to fraction form
    972,121.50/2,006,299.13 = 2,006,299.13/x
  3. Step 3: Cross multiply
    972,121.50x = 2,006,299.13 × 2,006,299.13
  4. Step 4: Simplify right side
    972,121.50x = 4,025,236,178,975.77
  5. Step 5: Solve for x
    x = 4,025,236,178,975.77/972,121.50
  6. Step 6: Final answer
    x = 4,140,671.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.