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Finding the Third Proportional to 1,016,991 and 1,381,203

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Solution

The third proportional to 1,016,991 and 1,381,203 is: 1,875,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,991 : 1,381,203 = 1,381,203 : x
  2. Step 2: Convert to fraction form
    1,016,991/1,381,203 = 1,381,203/x
  3. Step 3: Cross multiply
    1,016,991x = 1,381,203 × 1,381,203
  4. Step 4: Simplify right side
    1,016,991x = 1,907,721,727,209
  5. Step 5: Solve for x
    x = 1,907,721,727,209/1,016,991
  6. Step 6: Final answer
    x = 1,875,849.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.