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Finding the Third Proportional to 2,065,742 and 4,474,520

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Solution

The third proportional to 2,065,742 and 4,474,520 is: 9,692,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,742 : 4,474,520 = 4,474,520 : x
  2. Step 2: Convert to fraction form
    2,065,742/4,474,520 = 4,474,520/x
  3. Step 3: Cross multiply
    2,065,742x = 4,474,520 × 4,474,520
  4. Step 4: Simplify right side
    2,065,742x = 20,021,329,230,400
  5. Step 5: Solve for x
    x = 20,021,329,230,400/2,065,742
  6. Step 6: Final answer
    x = 9,692,076.37

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