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Finding the Third Proportional to 1,221,678 and 1,864,116

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Solution

The third proportional to 1,221,678 and 1,864,116 is: 2,844,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,678 : 1,864,116 = 1,864,116 : x
  2. Step 2: Convert to fraction form
    1,221,678/1,864,116 = 1,864,116/x
  3. Step 3: Cross multiply
    1,221,678x = 1,864,116 × 1,864,116
  4. Step 4: Simplify right side
    1,221,678x = 3,474,928,461,456
  5. Step 5: Solve for x
    x = 3,474,928,461,456/1,221,678
  6. Step 6: Final answer
    x = 2,844,389.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.