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Finding the Third Proportional to 687,713.26 and 1,493,582.18

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Solution

The third proportional to 687,713.26 and 1,493,582.18 is: 3,243,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,713.26 : 1,493,582.18 = 1,493,582.18 : x
  2. Step 2: Convert to fraction form
    687,713.26/1,493,582.18 = 1,493,582.18/x
  3. Step 3: Cross multiply
    687,713.26x = 1,493,582.18 × 1,493,582.18
  4. Step 4: Simplify right side
    687,713.26x = 2,230,787,718,728.57
  5. Step 5: Solve for x
    x = 2,230,787,718,728.57/687,713.26
  6. Step 6: Final answer
    x = 3,243,775.95

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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.