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Finding the Third Proportional to 1,471,206 and 3,102,144

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Solution

The third proportional to 1,471,206 and 3,102,144 is: 6,541,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,206 : 3,102,144 = 3,102,144 : x
  2. Step 2: Convert to fraction form
    1,471,206/3,102,144 = 3,102,144/x
  3. Step 3: Cross multiply
    1,471,206x = 3,102,144 × 3,102,144
  4. Step 4: Simplify right side
    1,471,206x = 9,623,297,396,736
  5. Step 5: Solve for x
    x = 9,623,297,396,736/1,471,206
  6. Step 6: Final answer
    x = 6,541,094.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.