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Finding the Third Proportional to 2,175,284 and 4,665,388

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Solution

The third proportional to 2,175,284 and 4,665,388 is: 10,005,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,284 : 4,665,388 = 4,665,388 : x
  2. Step 2: Convert to fraction form
    2,175,284/4,665,388 = 4,665,388/x
  3. Step 3: Cross multiply
    2,175,284x = 4,665,388 × 4,665,388
  4. Step 4: Simplify right side
    2,175,284x = 21,765,845,190,544
  5. Step 5: Solve for x
    x = 21,765,845,190,544/2,175,284
  6. Step 6: Final answer
    x = 10,005,978.62

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