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Finding the Third Proportional to 2,065,784 and 4,474,720

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Solution

The third proportional to 2,065,784 and 4,474,720 is: 9,692,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,784 : 4,474,720 = 4,474,720 : x
  2. Step 2: Convert to fraction form
    2,065,784/4,474,720 = 4,474,720/x
  3. Step 3: Cross multiply
    2,065,784x = 4,474,720 × 4,474,720
  4. Step 4: Simplify right side
    2,065,784x = 20,023,119,078,400
  5. Step 5: Solve for x
    x = 20,023,119,078,400/2,065,784
  6. Step 6: Final answer
    x = 9,692,745.75

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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.