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Finding the Third Proportional to 819,799 and 1,781,438

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Solution

The third proportional to 819,799 and 1,781,438 is: 3,871,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,799 : 1,781,438 = 1,781,438 : x
  2. Step 2: Convert to fraction form
    819,799/1,781,438 = 1,781,438/x
  3. Step 3: Cross multiply
    819,799x = 1,781,438 × 1,781,438
  4. Step 4: Simplify right side
    819,799x = 3,173,521,347,844
  5. Step 5: Solve for x
    x = 3,173,521,347,844/819,799
  6. Step 6: Final answer
    x = 3,871,096.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.