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Finding the Third Proportional to 728,578,161 and 1,119,185,173

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Solution

The third proportional to 728,578,161 and 1,119,185,173 is: 1,719,205,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,578,161 : 1,119,185,173 = 1,119,185,173 : x
  2. Step 2: Convert to fraction form
    728,578,161/1,119,185,173 = 1,119,185,173/x
  3. Step 3: Cross multiply
    728,578,161x = 1,119,185,173 × 1,119,185,173
  4. Step 4: Simplify right side
    728,578,161x = 1,252,575,451,463,040,000
  5. Step 5: Solve for x
    x = 1,252,575,451,463,040,000/728,578,161
  6. Step 6: Final answer
    x = 1,719,205,321.42

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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.