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Finding the Third Proportional to 664,237.13 and 1,057,447.13

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Solution

The third proportional to 664,237.13 and 1,057,447.13 is: 1,683,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,237.13 : 1,057,447.13 = 1,057,447.13 : x
  2. Step 2: Convert to fraction form
    664,237.13/1,057,447.13 = 1,057,447.13/x
  3. Step 3: Cross multiply
    664,237.13x = 1,057,447.13 × 1,057,447.13
  4. Step 4: Simplify right side
    664,237.13x = 1,118,194,422,170.77
  5. Step 5: Solve for x
    x = 1,118,194,422,170.77/664,237.13
  6. Step 6: Final answer
    x = 1,683,426.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.