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Finding the Third Proportional to 2,092,986 and 4,520,583

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Solution

The third proportional to 2,092,986 and 4,520,583 is: 9,763,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092,986 : 4,520,583 = 4,520,583 : x
  2. Step 2: Convert to fraction form
    2,092,986/4,520,583 = 4,520,583/x
  3. Step 3: Cross multiply
    2,092,986x = 4,520,583 × 4,520,583
  4. Step 4: Simplify right side
    2,092,986x = 20,435,670,659,889
  5. Step 5: Solve for x
    x = 20,435,670,659,889/2,092,986
  6. Step 6: Final answer
    x = 9,763,883.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.