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Finding the Third Proportional to 269,193,724 and 585,626,647

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Solution

The third proportional to 269,193,724 and 585,626,647 is: 1,274,021,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,193,724 : 585,626,647 = 585,626,647 : x
  2. Step 2: Convert to fraction form
    269,193,724/585,626,647 = 585,626,647/x
  3. Step 3: Cross multiply
    269,193,724x = 585,626,647 × 585,626,647
  4. Step 4: Simplify right side
    269,193,724x = 342,958,569,676,462,592
  5. Step 5: Solve for x
    x = 342,958,569,676,462,592/269,193,724
  6. Step 6: Final answer
    x = 1,274,021,416.92

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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.