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Finding the Third Proportional to 477,840 and 1,026,519

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Solution

The third proportional to 477,840 and 1,026,519 is: 2,205,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,840 : 1,026,519 = 1,026,519 : x
  2. Step 2: Convert to fraction form
    477,840/1,026,519 = 1,026,519/x
  3. Step 3: Cross multiply
    477,840x = 1,026,519 × 1,026,519
  4. Step 4: Simplify right side
    477,840x = 1,053,741,257,361
  5. Step 5: Solve for x
    x = 1,053,741,257,361/477,840
  6. Step 6: Final answer
    x = 2,205,217.77

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Why These Related Problems?

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