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Finding the Third Proportional to 869,757.75 and 1,224,811.13

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Solution

The third proportional to 869,757.75 and 1,224,811.13 is: 1,724,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,757.75 : 1,224,811.13 = 1,224,811.13 : x
  2. Step 2: Convert to fraction form
    869,757.75/1,224,811.13 = 1,224,811.13/x
  3. Step 3: Cross multiply
    869,757.75x = 1,224,811.13 × 1,224,811.13
  4. Step 4: Simplify right side
    869,757.75x = 1,500,162,291,923.77
  5. Step 5: Solve for x
    x = 1,500,162,291,923.77/869,757.75
  6. Step 6: Final answer
    x = 1,724,804.74

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Why These Related Problems?

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