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Finding the Third Proportional to 677,187 and 1,471,014

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Solution

The third proportional to 677,187 and 1,471,014 is: 3,195,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,187 : 1,471,014 = 1,471,014 : x
  2. Step 2: Convert to fraction form
    677,187/1,471,014 = 1,471,014/x
  3. Step 3: Cross multiply
    677,187x = 1,471,014 × 1,471,014
  4. Step 4: Simplify right side
    677,187x = 2,163,882,188,196
  5. Step 5: Solve for x
    x = 2,163,882,188,196/677,187
  6. Step 6: Final answer
    x = 3,195,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.