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Finding the Third Proportional to 1,159,931.25 and 2,546,811

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Solution

The third proportional to 1,159,931.25 and 2,546,811 is: 5,591,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,931.25 : 2,546,811 = 2,546,811 : x
  2. Step 2: Convert to fraction form
    1,159,931.25/2,546,811 = 2,546,811/x
  3. Step 3: Cross multiply
    1,159,931.25x = 2,546,811 × 2,546,811
  4. Step 4: Simplify right side
    1,159,931.25x = 6,486,246,269,721
  5. Step 5: Solve for x
    x = 6,486,246,269,721/1,159,931.25
  6. Step 6: Final answer
    x = 5,591,923.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.