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Finding the Third Proportional to 1,247,194.13 and 2,686,527

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Solution

The third proportional to 1,247,194.13 and 2,686,527 is: 5,786,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,194.13 : 2,686,527 = 2,686,527 : x
  2. Step 2: Convert to fraction form
    1,247,194.13/2,686,527 = 2,686,527/x
  3. Step 3: Cross multiply
    1,247,194.13x = 2,686,527 × 2,686,527
  4. Step 4: Simplify right side
    1,247,194.13x = 7,217,427,321,729
  5. Step 5: Solve for x
    x = 7,217,427,321,729/1,247,194.13
  6. Step 6: Final answer
    x = 5,786,931.78

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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.