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Finding the Third Proportional to 2,464,314 and 5,393,181

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Solution

The third proportional to 2,464,314 and 5,393,181 is: 11,803,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,314 : 5,393,181 = 5,393,181 : x
  2. Step 2: Convert to fraction form
    2,464,314/5,393,181 = 5,393,181/x
  3. Step 3: Cross multiply
    2,464,314x = 5,393,181 × 5,393,181
  4. Step 4: Simplify right side
    2,464,314x = 29,086,401,298,761
  5. Step 5: Solve for x
    x = 29,086,401,298,761/2,464,314
  6. Step 6: Final answer
    x = 11,803,041.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.