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Finding the Third Proportional to 869,768 and 1,224,822

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Solution

The third proportional to 869,768 and 1,224,822 is: 1,724,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,768 : 1,224,822 = 1,224,822 : x
  2. Step 2: Convert to fraction form
    869,768/1,224,822 = 1,224,822/x
  3. Step 3: Cross multiply
    869,768x = 1,224,822 × 1,224,822
  4. Step 4: Simplify right side
    869,768x = 1,500,188,931,684
  5. Step 5: Solve for x
    x = 1,500,188,931,684/869,768
  6. Step 6: Final answer
    x = 1,724,815.04

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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.