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Finding the Third Proportional to 1,158,084 and 1,756,809

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Solution

The third proportional to 1,158,084 and 1,756,809 is: 2,665,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,084 : 1,756,809 = 1,756,809 : x
  2. Step 2: Convert to fraction form
    1,158,084/1,756,809 = 1,756,809/x
  3. Step 3: Cross multiply
    1,158,084x = 1,756,809 × 1,756,809
  4. Step 4: Simplify right side
    1,158,084x = 3,086,377,862,481
  5. Step 5: Solve for x
    x = 3,086,377,862,481/1,158,084
  6. Step 6: Final answer
    x = 2,665,072.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.