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Finding the Third Proportional to 2,197,926 and 4,632,011

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Solution

The third proportional to 2,197,926 and 4,632,011 is: 9,761,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,926 : 4,632,011 = 4,632,011 : x
  2. Step 2: Convert to fraction form
    2,197,926/4,632,011 = 4,632,011/x
  3. Step 3: Cross multiply
    2,197,926x = 4,632,011 × 4,632,011
  4. Step 4: Simplify right side
    2,197,926x = 21,455,525,904,121
  5. Step 5: Solve for x
    x = 21,455,525,904,121/2,197,926
  6. Step 6: Final answer
    x = 9,761,714.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.