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Finding the Third Proportional to 1,404,441 and 2,121,421

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Solution

The third proportional to 1,404,441 and 2,121,421 is: 3,204,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404,441 : 2,121,421 = 2,121,421 : x
  2. Step 2: Convert to fraction form
    1,404,441/2,121,421 = 2,121,421/x
  3. Step 3: Cross multiply
    1,404,441x = 2,121,421 × 2,121,421
  4. Step 4: Simplify right side
    1,404,441x = 4,500,427,059,241
  5. Step 5: Solve for x
    x = 4,500,427,059,241/1,404,441
  6. Step 6: Final answer
    x = 3,204,425.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.