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Finding the Third Proportional to 490,716 and 1,051,384

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Solution

The third proportional to 490,716 and 1,051,384 is: 2,252,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,716 : 1,051,384 = 1,051,384 : x
  2. Step 2: Convert to fraction form
    490,716/1,051,384 = 1,051,384/x
  3. Step 3: Cross multiply
    490,716x = 1,051,384 × 1,051,384
  4. Step 4: Simplify right side
    490,716x = 1,105,408,315,456
  5. Step 5: Solve for x
    x = 1,105,408,315,456/490,716
  6. Step 6: Final answer
    x = 2,252,643.72

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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.