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Finding the Third Proportional to 1,102,167 and 2,421,171

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Solution

The third proportional to 1,102,167 and 2,421,171 is: 5,318,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,167 : 2,421,171 = 2,421,171 : x
  2. Step 2: Convert to fraction form
    1,102,167/2,421,171 = 2,421,171/x
  3. Step 3: Cross multiply
    1,102,167x = 2,421,171 × 2,421,171
  4. Step 4: Simplify right side
    1,102,167x = 5,862,069,011,241
  5. Step 5: Solve for x
    x = 5,862,069,011,241/1,102,167
  6. Step 6: Final answer
    x = 5,318,675.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.