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Finding the Third Proportional to 997,426.50 and 1,542,903

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Solution

The third proportional to 997,426.50 and 1,542,903 is: 2,386,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,426.50 : 1,542,903 = 1,542,903 : x
  2. Step 2: Convert to fraction form
    997,426.50/1,542,903 = 1,542,903/x
  3. Step 3: Cross multiply
    997,426.50x = 1,542,903 × 1,542,903
  4. Step 4: Simplify right side
    997,426.50x = 2,380,549,667,409
  5. Step 5: Solve for x
    x = 2,380,549,667,409/997,426.50
  6. Step 6: Final answer
    x = 2,386,691.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.