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Finding the Third Proportional to 560,837.25 and 1,223,181

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Solution

The third proportional to 560,837.25 and 1,223,181 is: 2,667,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,837.25 : 1,223,181 = 1,223,181 : x
  2. Step 2: Convert to fraction form
    560,837.25/1,223,181 = 1,223,181/x
  3. Step 3: Cross multiply
    560,837.25x = 1,223,181 × 1,223,181
  4. Step 4: Simplify right side
    560,837.25x = 1,496,171,758,761
  5. Step 5: Solve for x
    x = 1,496,171,758,761/560,837.25
  6. Step 6: Final answer
    x = 2,667,746.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.