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Finding the Third Proportional to 819,282 and 1,782,180

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Solution

The third proportional to 819,282 and 1,782,180 is: 3,876,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,282 : 1,782,180 = 1,782,180 : x
  2. Step 2: Convert to fraction form
    819,282/1,782,180 = 1,782,180/x
  3. Step 3: Cross multiply
    819,282x = 1,782,180 × 1,782,180
  4. Step 4: Simplify right side
    819,282x = 3,176,165,552,400
  5. Step 5: Solve for x
    x = 3,176,165,552,400/819,282
  6. Step 6: Final answer
    x = 3,876,767.16

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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.