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Finding the Third Proportional to 819,343 and 1,240,401

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Solution

The third proportional to 819,343 and 1,240,401 is: 1,877,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,343 : 1,240,401 = 1,240,401 : x
  2. Step 2: Convert to fraction form
    819,343/1,240,401 = 1,240,401/x
  3. Step 3: Cross multiply
    819,343x = 1,240,401 × 1,240,401
  4. Step 4: Simplify right side
    819,343x = 1,538,594,640,801
  5. Step 5: Solve for x
    x = 1,538,594,640,801/819,343
  6. Step 6: Final answer
    x = 1,877,839.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.