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Finding the Third Proportional to 814,136 and 1,736,448

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Solution

The third proportional to 814,136 and 1,736,448 is: 3,703,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,136 : 1,736,448 = 1,736,448 : x
  2. Step 2: Convert to fraction form
    814,136/1,736,448 = 1,736,448/x
  3. Step 3: Cross multiply
    814,136x = 1,736,448 × 1,736,448
  4. Step 4: Simplify right side
    814,136x = 3,015,251,656,704
  5. Step 5: Solve for x
    x = 3,015,251,656,704/814,136
  6. Step 6: Final answer
    x = 3,703,621.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.