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Finding the Third Proportional to 778,808.25 and 1,690,476.75

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Solution

The third proportional to 778,808.25 and 1,690,476.75 is: 3,669,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,808.25 : 1,690,476.75 = 1,690,476.75 : x
  2. Step 2: Convert to fraction form
    778,808.25/1,690,476.75 = 1,690,476.75/x
  3. Step 3: Cross multiply
    778,808.25x = 1,690,476.75 × 1,690,476.75
  4. Step 4: Simplify right side
    778,808.25x = 2,857,711,642,290.56
  5. Step 5: Solve for x
    x = 2,857,711,642,290.56/778,808.25
  6. Step 6: Final answer
    x = 3,669,339.20

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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.