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Finding the Third Proportional to 706,568 and 1,057,164

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Solution

The third proportional to 706,568 and 1,057,164 is: 1,581,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,568 : 1,057,164 = 1,057,164 : x
  2. Step 2: Convert to fraction form
    706,568/1,057,164 = 1,057,164/x
  3. Step 3: Cross multiply
    706,568x = 1,057,164 × 1,057,164
  4. Step 4: Simplify right side
    706,568x = 1,117,595,722,896
  5. Step 5: Solve for x
    x = 1,117,595,722,896/706,568
  6. Step 6: Final answer
    x = 1,581,724.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.