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Finding the Third Proportional to 2,065,311 and 4,498,068

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Solution

The third proportional to 2,065,311 and 4,498,068 is: 9,796,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,311 : 4,498,068 = 4,498,068 : x
  2. Step 2: Convert to fraction form
    2,065,311/4,498,068 = 4,498,068/x
  3. Step 3: Cross multiply
    2,065,311x = 4,498,068 × 4,498,068
  4. Step 4: Simplify right side
    2,065,311x = 20,232,615,732,624
  5. Step 5: Solve for x
    x = 20,232,615,732,624/2,065,311
  6. Step 6: Final answer
    x = 9,796,401.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.