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Finding the Third Proportional to 560,840 and 1,223,188

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Solution

The third proportional to 560,840 and 1,223,188 is: 2,667,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,840 : 1,223,188 = 1,223,188 : x
  2. Step 2: Convert to fraction form
    560,840/1,223,188 = 1,223,188/x
  3. Step 3: Cross multiply
    560,840x = 1,223,188 × 1,223,188
  4. Step 4: Simplify right side
    560,840x = 1,496,188,883,344
  5. Step 5: Solve for x
    x = 1,496,188,883,344/560,840
  6. Step 6: Final answer
    x = 2,667,764.22

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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.