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Finding the Third Proportional to 479,203,516 and 684,792,914

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Solution

The third proportional to 479,203,516 and 684,792,914 is: 978,584,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,203,516 : 684,792,914 = 684,792,914 : x
  2. Step 2: Convert to fraction form
    479,203,516/684,792,914 = 684,792,914/x
  3. Step 3: Cross multiply
    479,203,516x = 684,792,914 × 684,792,914
  4. Step 4: Simplify right side
    479,203,516x = 468,941,335,064,611,392
  5. Step 5: Solve for x
    x = 468,941,335,064,611,392/479,203,516
  6. Step 6: Final answer
    x = 978,584,921.45

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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.