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Finding the Third Proportional to 578,961 and 1,256,952

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Solution

The third proportional to 578,961 and 1,256,952 is: 2,728,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,961 : 1,256,952 = 1,256,952 : x
  2. Step 2: Convert to fraction form
    578,961/1,256,952 = 1,256,952/x
  3. Step 3: Cross multiply
    578,961x = 1,256,952 × 1,256,952
  4. Step 4: Simplify right side
    578,961x = 1,579,928,330,304
  5. Step 5: Solve for x
    x = 1,579,928,330,304/578,961
  6. Step 6: Final answer
    x = 2,728,902.86

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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.