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Finding the Third Proportional to 2,307,057 and 5,048,322

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Solution

The third proportional to 2,307,057 and 5,048,322 is: 11,046,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,057 : 5,048,322 = 5,048,322 : x
  2. Step 2: Convert to fraction form
    2,307,057/5,048,322 = 5,048,322/x
  3. Step 3: Cross multiply
    2,307,057x = 5,048,322 × 5,048,322
  4. Step 4: Simplify right side
    2,307,057x = 25,485,555,015,684
  5. Step 5: Solve for x
    x = 25,485,555,015,684/2,307,057
  6. Step 6: Final answer
    x = 11,046,781.69

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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.