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Finding the Third Proportional to 659,769 and 1,091,835

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Solution

The third proportional to 659,769 and 1,091,835 is: 1,806,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,769 : 1,091,835 = 1,091,835 : x
  2. Step 2: Convert to fraction form
    659,769/1,091,835 = 1,091,835/x
  3. Step 3: Cross multiply
    659,769x = 1,091,835 × 1,091,835
  4. Step 4: Simplify right side
    659,769x = 1,192,103,667,225
  5. Step 5: Solve for x
    x = 1,192,103,667,225/659,769
  6. Step 6: Final answer
    x = 1,806,850.08

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.