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Finding the Third Proportional to 1,448,997 and 2,129,189

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Solution

The third proportional to 1,448,997 and 2,129,189 is: 3,128,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,997 : 2,129,189 = 2,129,189 : x
  2. Step 2: Convert to fraction form
    1,448,997/2,129,189 = 2,129,189/x
  3. Step 3: Cross multiply
    1,448,997x = 2,129,189 × 2,129,189
  4. Step 4: Simplify right side
    1,448,997x = 4,533,445,797,721
  5. Step 5: Solve for x
    x = 4,533,445,797,721/1,448,997
  6. Step 6: Final answer
    x = 3,128,678.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.