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Finding the Third Proportional to 1,682,964 and 2,299,293

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Solution

The third proportional to 1,682,964 and 2,299,293 is: 3,141,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,964 : 2,299,293 = 2,299,293 : x
  2. Step 2: Convert to fraction form
    1,682,964/2,299,293 = 2,299,293/x
  3. Step 3: Cross multiply
    1,682,964x = 2,299,293 × 2,299,293
  4. Step 4: Simplify right side
    1,682,964x = 5,286,748,299,849
  5. Step 5: Solve for x
    x = 5,286,748,299,849/1,682,964
  6. Step 6: Final answer
    x = 3,141,331.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.