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Finding the Third Proportional to 493,221,805 and 1,073,270,792

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Solution

The third proportional to 493,221,805 and 1,073,270,792 is: 2,335,481,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,805 : 1,073,270,792 = 1,073,270,792 : x
  2. Step 2: Convert to fraction form
    493,221,805/1,073,270,792 = 1,073,270,792/x
  3. Step 3: Cross multiply
    493,221,805x = 1,073,270,792 × 1,073,270,792
  4. Step 4: Simplify right side
    493,221,805x = 1,151,910,192,960,307,200
  5. Step 5: Solve for x
    x = 1,151,910,192,960,307,200/493,221,805
  6. Step 6: Final answer
    x = 2,335,481,078.26

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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.