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Finding the Third Proportional to 2,272,196 and 4,863,532

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Solution

The third proportional to 2,272,196 and 4,863,532 is: 10,410,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,196 : 4,863,532 = 4,863,532 : x
  2. Step 2: Convert to fraction form
    2,272,196/4,863,532 = 4,863,532/x
  3. Step 3: Cross multiply
    2,272,196x = 4,863,532 × 4,863,532
  4. Step 4: Simplify right side
    2,272,196x = 23,653,943,515,024
  5. Step 5: Solve for x
    x = 23,653,943,515,024/2,272,196
  6. Step 6: Final answer
    x = 10,410,168.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.