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Finding the Third Proportional to 819,190 and 1,282,292

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Solution

The third proportional to 819,190 and 1,282,292 is: 2,007,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,190 : 1,282,292 = 1,282,292 : x
  2. Step 2: Convert to fraction form
    819,190/1,282,292 = 1,282,292/x
  3. Step 3: Cross multiply
    819,190x = 1,282,292 × 1,282,292
  4. Step 4: Simplify right side
    819,190x = 1,644,272,773,264
  5. Step 5: Solve for x
    x = 1,644,272,773,264/819,190
  6. Step 6: Final answer
    x = 2,007,193.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.