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Finding the Third Proportional to 2,286,041 and 4,916,170

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Solution

The third proportional to 2,286,041 and 4,916,170 is: 10,572,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,041 : 4,916,170 = 4,916,170 : x
  2. Step 2: Convert to fraction form
    2,286,041/4,916,170 = 4,916,170/x
  3. Step 3: Cross multiply
    2,286,041x = 4,916,170 × 4,916,170
  4. Step 4: Simplify right side
    2,286,041x = 24,168,727,468,900
  5. Step 5: Solve for x
    x = 24,168,727,468,900/2,286,041
  6. Step 6: Final answer
    x = 10,572,307.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.