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Finding the Third Proportional to 605,844,192 and 1,327,011,072

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Solution

The third proportional to 605,844,192 and 1,327,011,072 is: 2,906,619,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,844,192 : 1,327,011,072 = 1,327,011,072 : x
  2. Step 2: Convert to fraction form
    605,844,192/1,327,011,072 = 1,327,011,072/x
  3. Step 3: Cross multiply
    605,844,192x = 1,327,011,072 × 1,327,011,072
  4. Step 4: Simplify right side
    605,844,192x = 1,760,958,385,210,589,184
  5. Step 5: Solve for x
    x = 1,760,958,385,210,589,184/605,844,192
  6. Step 6: Final answer
    x = 2,906,619,240.50

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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.