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Finding the Third Proportional to 362,707,578 and 786,995,874

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Solution

The third proportional to 362,707,578 and 786,995,874 is: 1,707,608,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,707,578 : 786,995,874 = 786,995,874 : x
  2. Step 2: Convert to fraction form
    362,707,578/786,995,874 = 786,995,874/x
  3. Step 3: Cross multiply
    362,707,578x = 786,995,874 × 786,995,874
  4. Step 4: Simplify right side
    362,707,578x = 619,362,505,693,023,872
  5. Step 5: Solve for x
    x = 619,362,505,693,023,872/362,707,578
  6. Step 6: Final answer
    x = 1,707,608,396.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.