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Finding the Third Proportional to 1,782,580 and 3,891,812

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Solution

The third proportional to 1,782,580 and 3,891,812 is: 8,496,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,580 : 3,891,812 = 3,891,812 : x
  2. Step 2: Convert to fraction form
    1,782,580/3,891,812 = 3,891,812/x
  3. Step 3: Cross multiply
    1,782,580x = 3,891,812 × 3,891,812
  4. Step 4: Simplify right side
    1,782,580x = 15,146,200,643,344
  5. Step 5: Solve for x
    x = 15,146,200,643,344/1,782,580
  6. Step 6: Final answer
    x = 8,496,785.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.