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Finding the Third Proportional to 490,381 and 1,050,745

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Solution

The third proportional to 490,381 and 1,050,745 is: 2,251,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,381 : 1,050,745 = 1,050,745 : x
  2. Step 2: Convert to fraction form
    490,381/1,050,745 = 1,050,745/x
  3. Step 3: Cross multiply
    490,381x = 1,050,745 × 1,050,745
  4. Step 4: Simplify right side
    490,381x = 1,104,065,055,025
  5. Step 5: Solve for x
    x = 1,104,065,055,025/490,381
  6. Step 6: Final answer
    x = 2,251,443.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.