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Finding the Third Proportional to 818,016 and 1,711,201

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Solution

The third proportional to 818,016 and 1,711,201 is: 3,579,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,016 : 1,711,201 = 1,711,201 : x
  2. Step 2: Convert to fraction form
    818,016/1,711,201 = 1,711,201/x
  3. Step 3: Cross multiply
    818,016x = 1,711,201 × 1,711,201
  4. Step 4: Simplify right side
    818,016x = 2,928,208,862,401
  5. Step 5: Solve for x
    x = 2,928,208,862,401/818,016
  6. Step 6: Final answer
    x = 3,579,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.