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Finding the Third Proportional to 1,101,786.68 and 1,702,502.61

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Solution

The third proportional to 1,101,786.68 and 1,702,502.61 is: 2,630,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,786.68 : 1,702,502.61 = 1,702,502.61 : x
  2. Step 2: Convert to fraction form
    1,101,786.68/1,702,502.61 = 1,702,502.61/x
  3. Step 3: Cross multiply
    1,101,786.68x = 1,702,502.61 × 1,702,502.61
  4. Step 4: Simplify right side
    1,101,786.68x = 2,898,515,148,229.66
  5. Step 5: Solve for x
    x = 2,898,515,148,229.66/1,101,786.68
  6. Step 6: Final answer
    x = 2,630,740.78

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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.