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Finding the Third Proportional to 665,637.75 and 1,081,441.13

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Solution

The third proportional to 665,637.75 and 1,081,441.13 is: 1,756,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,637.75 : 1,081,441.13 = 1,081,441.13 : x
  2. Step 2: Convert to fraction form
    665,637.75/1,081,441.13 = 1,081,441.13/x
  3. Step 3: Cross multiply
    665,637.75x = 1,081,441.13 × 1,081,441.13
  4. Step 4: Simplify right side
    665,637.75x = 1,169,514,906,841.27
  5. Step 5: Solve for x
    x = 1,169,514,906,841.27/665,637.75
  6. Step 6: Final answer
    x = 1,756,984.05

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.