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Finding the Third Proportional to 461,822 and 690,879

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Solution

The third proportional to 461,822 and 690,879 is: 1,033,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,822 : 690,879 = 690,879 : x
  2. Step 2: Convert to fraction form
    461,822/690,879 = 690,879/x
  3. Step 3: Cross multiply
    461,822x = 690,879 × 690,879
  4. Step 4: Simplify right side
    461,822x = 477,313,792,641
  5. Step 5: Solve for x
    x = 477,313,792,641/461,822
  6. Step 6: Final answer
    x = 1,033,544.94

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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.