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Finding the Third Proportional to 2,250,210 and 4,852,257

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Solution

The third proportional to 2,250,210 and 4,852,257 is: 10,463,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,210 : 4,852,257 = 4,852,257 : x
  2. Step 2: Convert to fraction form
    2,250,210/4,852,257 = 4,852,257/x
  3. Step 3: Cross multiply
    2,250,210x = 4,852,257 × 4,852,257
  4. Step 4: Simplify right side
    2,250,210x = 23,544,397,994,049
  5. Step 5: Solve for x
    x = 23,544,397,994,049/2,250,210
  6. Step 6: Final answer
    x = 10,463,200.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.