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Finding the Third Proportional to 2,296,115 and 5,011,918

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Solution

The third proportional to 2,296,115 and 5,011,918 is: 10,939,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296,115 : 5,011,918 = 5,011,918 : x
  2. Step 2: Convert to fraction form
    2,296,115/5,011,918 = 5,011,918/x
  3. Step 3: Cross multiply
    2,296,115x = 5,011,918 × 5,011,918
  4. Step 4: Simplify right side
    2,296,115x = 25,119,322,038,724
  5. Step 5: Solve for x
    x = 25,119,322,038,724/2,296,115
  6. Step 6: Final answer
    x = 10,939,923.32

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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.