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Finding the Third Proportional to 869,764 and 1,224,816

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Solution

The third proportional to 869,764 and 1,224,816 is: 1,724,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,764 : 1,224,816 = 1,224,816 : x
  2. Step 2: Convert to fraction form
    869,764/1,224,816 = 1,224,816/x
  3. Step 3: Cross multiply
    869,764x = 1,224,816 × 1,224,816
  4. Step 4: Simplify right side
    869,764x = 1,500,174,233,856
  5. Step 5: Solve for x
    x = 1,500,174,233,856/869,764
  6. Step 6: Final answer
    x = 1,724,806.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.