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Finding the Third Proportional to 784,022,162 and 1,706,307,496

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Solution

The third proportional to 784,022,162 and 1,706,307,496 is: 3,713,524,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,022,162 : 1,706,307,496 = 1,706,307,496 : x
  2. Step 2: Convert to fraction form
    784,022,162/1,706,307,496 = 1,706,307,496/x
  3. Step 3: Cross multiply
    784,022,162x = 1,706,307,496 × 1,706,307,496
  4. Step 4: Simplify right side
    784,022,162x = 2,911,485,270,905,789,952
  5. Step 5: Solve for x
    x = 2,911,485,270,905,789,952/784,022,162
  6. Step 6: Final answer
    x = 3,713,524,198.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.