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Finding the Third Proportional to 2,957,832 and 6,364,000

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Solution

The third proportional to 2,957,832 and 6,364,000 is: 13,692,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,832 : 6,364,000 = 6,364,000 : x
  2. Step 2: Convert to fraction form
    2,957,832/6,364,000 = 6,364,000/x
  3. Step 3: Cross multiply
    2,957,832x = 6,364,000 × 6,364,000
  4. Step 4: Simplify right side
    2,957,832x = 40,500,496,000,000
  5. Step 5: Solve for x
    x = 40,500,496,000,000/2,957,832
  6. Step 6: Final answer
    x = 13,692,628.93

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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.