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Finding the Third Proportional to 659,871 and 1,020,131

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Solution

The third proportional to 659,871 and 1,020,131 is: 1,577,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,871 : 1,020,131 = 1,020,131 : x
  2. Step 2: Convert to fraction form
    659,871/1,020,131 = 1,020,131/x
  3. Step 3: Cross multiply
    659,871x = 1,020,131 × 1,020,131
  4. Step 4: Simplify right side
    659,871x = 1,040,667,257,161
  5. Step 5: Solve for x
    x = 1,040,667,257,161/659,871
  6. Step 6: Final answer
    x = 1,577,076.82

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