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Finding the Third Proportional to 4,253,397 and 6,458,733

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Solution

The third proportional to 4,253,397 and 6,458,733 is: 9,807,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,397 : 6,458,733 = 6,458,733 : x
  2. Step 2: Convert to fraction form
    4,253,397/6,458,733 = 6,458,733/x
  3. Step 3: Cross multiply
    4,253,397x = 6,458,733 × 6,458,733
  4. Step 4: Simplify right side
    4,253,397x = 41,715,231,965,289
  5. Step 5: Solve for x
    x = 41,715,231,965,289/4,253,397
  6. Step 6: Final answer
    x = 9,807,509.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.