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Finding the Third Proportional to 2,086,526 and 4,397,218

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Solution

The third proportional to 2,086,526 and 4,397,218 is: 9,266,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,526 : 4,397,218 = 4,397,218 : x
  2. Step 2: Convert to fraction form
    2,086,526/4,397,218 = 4,397,218/x
  3. Step 3: Cross multiply
    2,086,526x = 4,397,218 × 4,397,218
  4. Step 4: Simplify right side
    2,086,526x = 19,335,526,139,524
  5. Step 5: Solve for x
    x = 19,335,526,139,524/2,086,526
  6. Step 6: Final answer
    x = 9,266,851.28

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Why These Related Problems?

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