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Finding the Third Proportional to 2,296,423 and 3,378,199

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Solution

The third proportional to 2,296,423 and 3,378,199 is: 4,969,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,423 : 3,378,199 = 3,378,199 : x
  2. Step 2: Convert to fraction form
    2,296,423/3,378,199 = 3,378,199/x
  3. Step 3: Cross multiply
    2,296,423x = 3,378,199 × 3,378,199
  4. Step 4: Simplify right side
    2,296,423x = 11,412,228,483,601
  5. Step 5: Solve for x
    x = 11,412,228,483,601/2,296,423
  6. Step 6: Final answer
    x = 4,969,567.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.