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Finding the Third Proportional to 978,618 and 1,378,116

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Solution

The third proportional to 978,618 and 1,378,116 is: 1,940,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,618 : 1,378,116 = 1,378,116 : x
  2. Step 2: Convert to fraction form
    978,618/1,378,116 = 1,378,116/x
  3. Step 3: Cross multiply
    978,618x = 1,378,116 × 1,378,116
  4. Step 4: Simplify right side
    978,618x = 1,899,203,709,456
  5. Step 5: Solve for x
    x = 1,899,203,709,456/978,618
  6. Step 6: Final answer
    x = 1,940,699.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.