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Finding the Third Proportional to 545,264 and 1,198,814

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Solution

The third proportional to 545,264 and 1,198,814 is: 2,635,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,264 : 1,198,814 = 1,198,814 : x
  2. Step 2: Convert to fraction form
    545,264/1,198,814 = 1,198,814/x
  3. Step 3: Cross multiply
    545,264x = 1,198,814 × 1,198,814
  4. Step 4: Simplify right side
    545,264x = 1,437,155,006,596
  5. Step 5: Solve for x
    x = 1,437,155,006,596/545,264
  6. Step 6: Final answer
    x = 2,635,704.92

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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.