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Finding the Third Proportional to 1,991,205 and 4,343,997

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Solution

The third proportional to 1,991,205 and 4,343,997 is: 9,476,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,205 : 4,343,997 = 4,343,997 : x
  2. Step 2: Convert to fraction form
    1,991,205/4,343,997 = 4,343,997/x
  3. Step 3: Cross multiply
    1,991,205x = 4,343,997 × 4,343,997
  4. Step 4: Simplify right side
    1,991,205x = 18,870,309,936,009
  5. Step 5: Solve for x
    x = 18,870,309,936,009/1,991,205
  6. Step 6: Final answer
    x = 9,476,829.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.