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Finding the Third Proportional to 787,986 and 1,204,854.75

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Solution

The third proportional to 787,986 and 1,204,854.75 is: 1,842,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,986 : 1,204,854.75 = 1,204,854.75 : x
  2. Step 2: Convert to fraction form
    787,986/1,204,854.75 = 1,204,854.75/x
  3. Step 3: Cross multiply
    787,986x = 1,204,854.75 × 1,204,854.75
  4. Step 4: Simplify right side
    787,986x = 1,451,674,968,597.56
  5. Step 5: Solve for x
    x = 1,451,674,968,597.56/787,986
  6. Step 6: Final answer
    x = 1,842,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.