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Finding the Third Proportional to 497,236,194 and 1,082,751,807

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Solution

The third proportional to 497,236,194 and 1,082,751,807 is: 2,357,735,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,236,194 : 1,082,751,807 = 1,082,751,807 : x
  2. Step 2: Convert to fraction form
    497,236,194/1,082,751,807 = 1,082,751,807/x
  3. Step 3: Cross multiply
    497,236,194x = 1,082,751,807 × 1,082,751,807
  4. Step 4: Simplify right side
    497,236,194x = 1,172,351,475,561,765,376
  5. Step 5: Solve for x
    x = 1,172,351,475,561,765,376/497,236,194
  6. Step 6: Final answer
    x = 2,357,735,598.71

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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.