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Finding the Third Proportional to 1,585,983 and 2,260,876

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Solution

The third proportional to 1,585,983 and 2,260,876 is: 3,222,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,983 : 2,260,876 = 2,260,876 : x
  2. Step 2: Convert to fraction form
    1,585,983/2,260,876 = 2,260,876/x
  3. Step 3: Cross multiply
    1,585,983x = 2,260,876 × 2,260,876
  4. Step 4: Simplify right side
    1,585,983x = 5,111,560,287,376
  5. Step 5: Solve for x
    x = 5,111,560,287,376/1,585,983
  6. Step 6: Final answer
    x = 3,222,960.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.