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Finding the Third Proportional to 477,843 and 1,026,525

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Solution

The third proportional to 477,843 and 1,026,525 is: 2,205,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,843 : 1,026,525 = 1,026,525 : x
  2. Step 2: Convert to fraction form
    477,843/1,026,525 = 1,026,525/x
  3. Step 3: Cross multiply
    477,843x = 1,026,525 × 1,026,525
  4. Step 4: Simplify right side
    477,843x = 1,053,753,575,625
  5. Step 5: Solve for x
    x = 1,053,753,575,625/477,843
  6. Step 6: Final answer
    x = 2,205,229.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.