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Finding the Third Proportional to 2,330,774 and 5,494,222

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Solution

The third proportional to 2,330,774 and 5,494,222 is: 12,951,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,774 : 5,494,222 = 5,494,222 : x
  2. Step 2: Convert to fraction form
    2,330,774/5,494,222 = 5,494,222/x
  3. Step 3: Cross multiply
    2,330,774x = 5,494,222 × 5,494,222
  4. Step 4: Simplify right side
    2,330,774x = 30,186,475,385,284
  5. Step 5: Solve for x
    x = 30,186,475,385,284/2,330,774
  6. Step 6: Final answer
    x = 12,951,266.57

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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.