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Finding the Third Proportional to 972,760.32 and 1,385,715.09

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Solution

The third proportional to 972,760.32 and 1,385,715.09 is: 1,973,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,760.32 : 1,385,715.09 = 1,385,715.09 : x
  2. Step 2: Convert to fraction form
    972,760.32/1,385,715.09 = 1,385,715.09/x
  3. Step 3: Cross multiply
    972,760.32x = 1,385,715.09 × 1,385,715.09
  4. Step 4: Simplify right side
    972,760.32x = 1,920,206,321,046.57
  5. Step 5: Solve for x
    x = 1,920,206,321,046.57/972,760.32
  6. Step 6: Final answer
    x = 1,973,976.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.