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Finding the Third Proportional to 1,053,102 and 2,274,011

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Solution

The third proportional to 1,053,102 and 2,274,011 is: 4,910,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,102 : 2,274,011 = 2,274,011 : x
  2. Step 2: Convert to fraction form
    1,053,102/2,274,011 = 2,274,011/x
  3. Step 3: Cross multiply
    1,053,102x = 2,274,011 × 2,274,011
  4. Step 4: Simplify right side
    1,053,102x = 5,171,126,028,121
  5. Step 5: Solve for x
    x = 5,171,126,028,121/1,053,102
  6. Step 6: Final answer
    x = 4,910,375.28

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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.