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Finding the Third Proportional to 2,364,960 and 5,187,729

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Solution

The third proportional to 2,364,960 and 5,187,729 is: 11,379,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,960 : 5,187,729 = 5,187,729 : x
  2. Step 2: Convert to fraction form
    2,364,960/5,187,729 = 5,187,729/x
  3. Step 3: Cross multiply
    2,364,960x = 5,187,729 × 5,187,729
  4. Step 4: Simplify right side
    2,364,960x = 26,912,532,177,441
  5. Step 5: Solve for x
    x = 26,912,532,177,441/2,364,960
  6. Step 6: Final answer
    x = 11,379,698.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.