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Finding the Third Proportional to 2,211,470 and 4,823,116

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Solution

The third proportional to 2,211,470 and 4,823,116 is: 10,518,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,470 : 4,823,116 = 4,823,116 : x
  2. Step 2: Convert to fraction form
    2,211,470/4,823,116 = 4,823,116/x
  3. Step 3: Cross multiply
    2,211,470x = 4,823,116 × 4,823,116
  4. Step 4: Simplify right side
    2,211,470x = 23,262,447,949,456
  5. Step 5: Solve for x
    x = 23,262,447,949,456/2,211,470
  6. Step 6: Final answer
    x = 10,518,997.75

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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.