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Finding the Third Proportional to 806,373,584 and 1,758,716,288

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Solution

The third proportional to 806,373,584 and 1,758,716,288 is: 3,835,794,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,373,584 : 1,758,716,288 = 1,758,716,288 : x
  2. Step 2: Convert to fraction form
    806,373,584/1,758,716,288 = 1,758,716,288/x
  3. Step 3: Cross multiply
    806,373,584x = 1,758,716,288 × 1,758,716,288
  4. Step 4: Simplify right side
    806,373,584x = 3,093,082,981,676,498,944
  5. Step 5: Solve for x
    x = 3,093,082,981,676,498,944/806,373,584
  6. Step 6: Final answer
    x = 3,835,794,032.75

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Why These Related Problems?

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