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Finding the Third Proportional to 558,231 and 1,210,983

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Solution

The third proportional to 558,231 and 1,210,983 is: 2,627,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,231 : 1,210,983 = 1,210,983 : x
  2. Step 2: Convert to fraction form
    558,231/1,210,983 = 1,210,983/x
  3. Step 3: Cross multiply
    558,231x = 1,210,983 × 1,210,983
  4. Step 4: Simplify right side
    558,231x = 1,466,479,826,289
  5. Step 5: Solve for x
    x = 1,466,479,826,289/558,231
  6. Step 6: Final answer
    x = 2,627,012.52

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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.