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Finding the Third Proportional to 1,548,120 and 3,497,611.50

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Solution

The third proportional to 1,548,120 and 3,497,611.50 is: 7,902,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,120 : 3,497,611.50 = 3,497,611.50 : x
  2. Step 2: Convert to fraction form
    1,548,120/3,497,611.50 = 3,497,611.50/x
  3. Step 3: Cross multiply
    1,548,120x = 3,497,611.50 × 3,497,611.50
  4. Step 4: Simplify right side
    1,548,120x = 12,233,286,204,932.25
  5. Step 5: Solve for x
    x = 12,233,286,204,932.25/1,548,120
  6. Step 6: Final answer
    x = 7,902,027.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.