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Finding the Third Proportional to 1,102,185 and 1,560,019.50

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Solution

The third proportional to 1,102,185 and 1,560,019.50 is: 2,208,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,185 : 1,560,019.50 = 1,560,019.50 : x
  2. Step 2: Convert to fraction form
    1,102,185/1,560,019.50 = 1,560,019.50/x
  3. Step 3: Cross multiply
    1,102,185x = 1,560,019.50 × 1,560,019.50
  4. Step 4: Simplify right side
    1,102,185x = 2,433,660,840,380.25
  5. Step 5: Solve for x
    x = 2,433,660,840,380.25/1,102,185
  6. Step 6: Final answer
    x = 2,208,032.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.