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Finding the Third Proportional to 1,129,814 and 1,580,268

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Solution

The third proportional to 1,129,814 and 1,580,268 is: 2,210,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,814 : 1,580,268 = 1,580,268 : x
  2. Step 2: Convert to fraction form
    1,129,814/1,580,268 = 1,580,268/x
  3. Step 3: Cross multiply
    1,129,814x = 1,580,268 × 1,580,268
  4. Step 4: Simplify right side
    1,129,814x = 2,497,246,951,824
  5. Step 5: Solve for x
    x = 2,497,246,951,824/1,129,814
  6. Step 6: Final answer
    x = 2,210,316.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.