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Finding the Third Proportional to 984,241.13 and 1,540,642.78

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Solution

The third proportional to 984,241.13 and 1,540,642.78 is: 2,411,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,241.13 : 1,540,642.78 = 1,540,642.78 : x
  2. Step 2: Convert to fraction form
    984,241.13/1,540,642.78 = 1,540,642.78/x
  3. Step 3: Cross multiply
    984,241.13x = 1,540,642.78 × 1,540,642.78
  4. Step 4: Simplify right side
    984,241.13x = 2,373,580,179,417.74
  5. Step 5: Solve for x
    x = 2,373,580,179,417.74/984,241.13
  6. Step 6: Final answer
    x = 2,411,584.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.