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Finding the Third Proportional to 1,070,121 and 2,228,816

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Solution

The third proportional to 1,070,121 and 2,228,816 is: 4,642,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,121 : 2,228,816 = 2,228,816 : x
  2. Step 2: Convert to fraction form
    1,070,121/2,228,816 = 2,228,816/x
  3. Step 3: Cross multiply
    1,070,121x = 2,228,816 × 2,228,816
  4. Step 4: Simplify right side
    1,070,121x = 4,967,620,761,856
  5. Step 5: Solve for x
    x = 4,967,620,761,856/1,070,121
  6. Step 6: Final answer
    x = 4,642,111.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.