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Finding the Third Proportional to 726,138 and 1,065,879

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Solution

The third proportional to 726,138 and 1,065,879 is: 1,564,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,138 : 1,065,879 = 1,065,879 : x
  2. Step 2: Convert to fraction form
    726,138/1,065,879 = 1,065,879/x
  3. Step 3: Cross multiply
    726,138x = 1,065,879 × 1,065,879
  4. Step 4: Simplify right side
    726,138x = 1,136,098,042,641
  5. Step 5: Solve for x
    x = 1,136,098,042,641/726,138
  6. Step 6: Final answer
    x = 1,564,575.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.