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Finding the Third Proportional to 819,280 and 1,782,176

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Solution

The third proportional to 819,280 and 1,782,176 is: 3,876,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,280 : 1,782,176 = 1,782,176 : x
  2. Step 2: Convert to fraction form
    819,280/1,782,176 = 1,782,176/x
  3. Step 3: Cross multiply
    819,280x = 1,782,176 × 1,782,176
  4. Step 4: Simplify right side
    819,280x = 3,176,151,294,976
  5. Step 5: Solve for x
    x = 3,176,151,294,976/819,280
  6. Step 6: Final answer
    x = 3,876,759.22

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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.