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Finding the Third Proportional to 1,229,148 and 1,928,171

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Solution

The third proportional to 1,229,148 and 1,928,171 is: 3,024,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,148 : 1,928,171 = 1,928,171 : x
  2. Step 2: Convert to fraction form
    1,229,148/1,928,171 = 1,928,171/x
  3. Step 3: Cross multiply
    1,229,148x = 1,928,171 × 1,928,171
  4. Step 4: Simplify right side
    1,229,148x = 3,717,843,405,241
  5. Step 5: Solve for x
    x = 3,717,843,405,241/1,229,148
  6. Step 6: Final answer
    x = 3,024,732.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.