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Finding the Third Proportional to 584,837,082 and 1,284,451,326

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Solution

The third proportional to 584,837,082 and 1,284,451,326 is: 2,820,982,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,837,082 : 1,284,451,326 = 1,284,451,326 : x
  2. Step 2: Convert to fraction form
    584,837,082/1,284,451,326 = 1,284,451,326/x
  3. Step 3: Cross multiply
    584,837,082x = 1,284,451,326 × 1,284,451,326
  4. Step 4: Simplify right side
    584,837,082x = 1,649,815,208,863,158,272
  5. Step 5: Solve for x
    x = 1,649,815,208,863,158,272/584,837,082
  6. Step 6: Final answer
    x = 2,820,982,560.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.