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Finding the Third Proportional to 870,972.75 and 1,325,527.03

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Solution

The third proportional to 870,972.75 and 1,325,527.03 is: 2,017,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,972.75 : 1,325,527.03 = 1,325,527.03 : x
  2. Step 2: Convert to fraction form
    870,972.75/1,325,527.03 = 1,325,527.03/x
  3. Step 3: Cross multiply
    870,972.75x = 1,325,527.03 × 1,325,527.03
  4. Step 4: Simplify right side
    870,972.75x = 1,757,021,910,574.44
  5. Step 5: Solve for x
    x = 1,757,021,910,574.44/870,972.75
  6. Step 6: Final answer
    x = 2,017,309.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.