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Finding the Third Proportional to 787,802 and 1,222,165

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Solution

The third proportional to 787,802 and 1,222,165 is: 1,896,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,802 : 1,222,165 = 1,222,165 : x
  2. Step 2: Convert to fraction form
    787,802/1,222,165 = 1,222,165/x
  3. Step 3: Cross multiply
    787,802x = 1,222,165 × 1,222,165
  4. Step 4: Simplify right side
    787,802x = 1,493,687,287,225
  5. Step 5: Solve for x
    x = 1,493,687,287,225/787,802
  6. Step 6: Final answer
    x = 1,896,018.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.