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Finding the Third Proportional to 677,766 and 1,448,604

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Solution

The third proportional to 677,766 and 1,448,604 is: 3,096,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,766 : 1,448,604 = 1,448,604 : x
  2. Step 2: Convert to fraction form
    677,766/1,448,604 = 1,448,604/x
  3. Step 3: Cross multiply
    677,766x = 1,448,604 × 1,448,604
  4. Step 4: Simplify right side
    677,766x = 2,098,453,548,816
  5. Step 5: Solve for x
    x = 2,098,453,548,816/677,766
  6. Step 6: Final answer
    x = 3,096,132.81

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