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Finding the Third Proportional to 780,451 and 1,693,569

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Solution

The third proportional to 780,451 and 1,693,569 is: 3,675,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,451 : 1,693,569 = 1,693,569 : x
  2. Step 2: Convert to fraction form
    780,451/1,693,569 = 1,693,569/x
  3. Step 3: Cross multiply
    780,451x = 1,693,569 × 1,693,569
  4. Step 4: Simplify right side
    780,451x = 2,868,175,957,761
  5. Step 5: Solve for x
    x = 2,868,175,957,761/780,451
  6. Step 6: Final answer
    x = 3,675,023.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.