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Finding the Third Proportional to 479,203,504 and 684,792,896

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Solution

The third proportional to 479,203,504 and 684,792,896 is: 978,584,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,203,504 : 684,792,896 = 684,792,896 : x
  2. Step 2: Convert to fraction form
    479,203,504/684,792,896 = 684,792,896/x
  3. Step 3: Cross multiply
    479,203,504x = 684,792,896 × 684,792,896
  4. Step 4: Simplify right side
    479,203,504x = 468,941,310,412,066,816
  5. Step 5: Solve for x
    x = 468,941,310,412,066,816/479,203,504
  6. Step 6: Final answer
    x = 978,584,894.51

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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.