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Finding the Third Proportional to 1,691,932 and 3,662,648

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Solution

The third proportional to 1,691,932 and 3,662,648 is: 7,928,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,932 : 3,662,648 = 3,662,648 : x
  2. Step 2: Convert to fraction form
    1,691,932/3,662,648 = 3,662,648/x
  3. Step 3: Cross multiply
    1,691,932x = 3,662,648 × 3,662,648
  4. Step 4: Simplify right side
    1,691,932x = 13,414,990,371,904
  5. Step 5: Solve for x
    x = 13,414,990,371,904/1,691,932
  6. Step 6: Final answer
    x = 7,928,799.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.