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Finding the Third Proportional to 906,288,082 and 1,399,467,347

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Solution

The third proportional to 906,288,082 and 1,399,467,347 is: 2,161,022,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,288,082 : 1,399,467,347 = 1,399,467,347 : x
  2. Step 2: Convert to fraction form
    906,288,082/1,399,467,347 = 1,399,467,347/x
  3. Step 3: Cross multiply
    906,288,082x = 1,399,467,347 × 1,399,467,347
  4. Step 4: Simplify right side
    906,288,082x = 1,958,508,855,319,218,432
  5. Step 5: Solve for x
    x = 1,958,508,855,319,218,432/906,288,082
  6. Step 6: Final answer
    x = 2,161,022,410.22

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Why These Related Problems?

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