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Finding the Third Proportional to 677,760 and 1,448,592

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Solution

The third proportional to 677,760 and 1,448,592 is: 3,096,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,760 : 1,448,592 = 1,448,592 : x
  2. Step 2: Convert to fraction form
    677,760/1,448,592 = 1,448,592/x
  3. Step 3: Cross multiply
    677,760x = 1,448,592 × 1,448,592
  4. Step 4: Simplify right side
    677,760x = 2,098,418,782,464
  5. Step 5: Solve for x
    x = 2,098,418,782,464/677,760
  6. Step 6: Final answer
    x = 3,096,108.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.