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Finding the Third Proportional to 1,293,413 and 2,669,858

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Solution

The third proportional to 1,293,413 and 2,669,858 is: 5,511,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,413 : 2,669,858 = 2,669,858 : x
  2. Step 2: Convert to fraction form
    1,293,413/2,669,858 = 2,669,858/x
  3. Step 3: Cross multiply
    1,293,413x = 2,669,858 × 2,669,858
  4. Step 4: Simplify right side
    1,293,413x = 7,128,141,740,164
  5. Step 5: Solve for x
    x = 7,128,141,740,164/1,293,413
  6. Step 6: Final answer
    x = 5,511,110.33

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.