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Finding the Third Proportional to 542,974 and 851,073

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Solution

The third proportional to 542,974 and 851,073 is: 1,333,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,974 : 851,073 = 851,073 : x
  2. Step 2: Convert to fraction form
    542,974/851,073 = 851,073/x
  3. Step 3: Cross multiply
    542,974x = 851,073 × 851,073
  4. Step 4: Simplify right side
    542,974x = 724,325,251,329
  5. Step 5: Solve for x
    x = 724,325,251,329/542,974
  6. Step 6: Final answer
    x = 1,333,996.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.