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Finding the Third Proportional to 4,520,560 and 6,826,920

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Solution

The third proportional to 4,520,560 and 6,826,920 is: 10,309,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,560 : 6,826,920 = 6,826,920 : x
  2. Step 2: Convert to fraction form
    4,520,560/6,826,920 = 6,826,920/x
  3. Step 3: Cross multiply
    4,520,560x = 6,826,920 × 6,826,920
  4. Step 4: Simplify right side
    4,520,560x = 46,606,836,686,400
  5. Step 5: Solve for x
    x = 46,606,836,686,400/4,520,560
  6. Step 6: Final answer
    x = 10,309,969.71

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Why These Related Problems?

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