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Finding the Third Proportional to 486,100,488 and 694,626,344

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Solution

The third proportional to 486,100,488 and 694,626,344 is: 992,604,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,100,488 : 694,626,344 = 694,626,344 : x
  2. Step 2: Convert to fraction form
    486,100,488/694,626,344 = 694,626,344/x
  3. Step 3: Cross multiply
    486,100,488x = 694,626,344 × 694,626,344
  4. Step 4: Simplify right side
    486,100,488x = 482,505,757,778,806,336
  5. Step 5: Solve for x
    x = 482,505,757,778,806,336/486,100,488
  6. Step 6: Final answer
    x = 992,604,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.