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Finding the Third Proportional to 2,419,821.56 and 5,266,381.22

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Solution

The third proportional to 2,419,821.56 and 5,266,381.22 is: 11,461,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,821.56 : 5,266,381.22 = 5,266,381.22 : x
  2. Step 2: Convert to fraction form
    2,419,821.56/5,266,381.22 = 5,266,381.22/x
  3. Step 3: Cross multiply
    2,419,821.56x = 5,266,381.22 × 5,266,381.22
  4. Step 4: Simplify right side
    2,419,821.56x = 27,734,771,141,202.73
  5. Step 5: Solve for x
    x = 27,734,771,141,202.73/2,419,821.56
  6. Step 6: Final answer
    x = 11,461,494.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.