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Finding the Third Proportional to 524,986 and 787,890

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Solution

The third proportional to 524,986 and 787,890 is: 1,182,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,986 : 787,890 = 787,890 : x
  2. Step 2: Convert to fraction form
    524,986/787,890 = 787,890/x
  3. Step 3: Cross multiply
    524,986x = 787,890 × 787,890
  4. Step 4: Simplify right side
    524,986x = 620,770,652,100
  5. Step 5: Solve for x
    x = 620,770,652,100/524,986
  6. Step 6: Final answer
    x = 1,182,451.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.