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Finding the Third Proportional to 2,298,993.50 and 5,419,369

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Solution

The third proportional to 2,298,993.50 and 5,419,369 is: 12,774,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,993.50 : 5,419,369 = 5,419,369 : x
  2. Step 2: Convert to fraction form
    2,298,993.50/5,419,369 = 5,419,369/x
  3. Step 3: Cross multiply
    2,298,993.50x = 5,419,369 × 5,419,369
  4. Step 4: Simplify right side
    2,298,993.50x = 29,369,560,358,161
  5. Step 5: Solve for x
    x = 29,369,560,358,161/2,298,993.50
  6. Step 6: Final answer
    x = 12,774,964.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.