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Finding the Third Proportional to 523,858 and 1,127,974

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Solution

The third proportional to 523,858 and 1,127,974 is: 2,428,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,858 : 1,127,974 = 1,127,974 : x
  2. Step 2: Convert to fraction form
    523,858/1,127,974 = 1,127,974/x
  3. Step 3: Cross multiply
    523,858x = 1,127,974 × 1,127,974
  4. Step 4: Simplify right side
    523,858x = 1,272,325,344,676
  5. Step 5: Solve for x
    x = 1,272,325,344,676/523,858
  6. Step 6: Final answer
    x = 2,428,759.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.