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Finding the Third Proportional to 906,288,510 and 1,399,468,074

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Solution

The third proportional to 906,288,510 and 1,399,468,074 is: 2,161,023,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,288,510 : 1,399,468,074 = 1,399,468,074 : x
  2. Step 2: Convert to fraction form
    906,288,510/1,399,468,074 = 1,399,468,074/x
  3. Step 3: Cross multiply
    906,288,510x = 1,399,468,074 × 1,399,468,074
  4. Step 4: Simplify right side
    906,288,510x = 1,958,510,890,145,269,504
  5. Step 5: Solve for x
    x = 1,958,510,890,145,269,504/906,288,510
  6. Step 6: Final answer
    x = 2,161,023,634.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.