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Finding the Third Proportional to 1,784,241.75 and 2,543,501.25

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Solution

The third proportional to 1,784,241.75 and 2,543,501.25 is: 3,625,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,241.75 : 2,543,501.25 = 2,543,501.25 : x
  2. Step 2: Convert to fraction form
    1,784,241.75/2,543,501.25 = 2,543,501.25/x
  3. Step 3: Cross multiply
    1,784,241.75x = 2,543,501.25 × 2,543,501.25
  4. Step 4: Simplify right side
    1,784,241.75x = 6,469,398,608,751.56
  5. Step 5: Solve for x
    x = 6,469,398,608,751.56/1,784,241.75
  6. Step 6: Final answer
    x = 3,625,853.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.