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Finding the Third Proportional to 587,756.25 and 1,200,420

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Solution

The third proportional to 587,756.25 and 1,200,420 is: 2,451,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,756.25 : 1,200,420 = 1,200,420 : x
  2. Step 2: Convert to fraction form
    587,756.25/1,200,420 = 1,200,420/x
  3. Step 3: Cross multiply
    587,756.25x = 1,200,420 × 1,200,420
  4. Step 4: Simplify right side
    587,756.25x = 1,441,008,176,400
  5. Step 5: Solve for x
    x = 1,441,008,176,400/587,756.25
  6. Step 6: Final answer
    x = 2,451,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.