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Finding the Third Proportional to 479,202,786 and 684,791,952

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Solution

The third proportional to 479,202,786 and 684,791,952 is: 978,583,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,202,786 : 684,791,952 = 684,791,952 : x
  2. Step 2: Convert to fraction form
    479,202,786/684,791,952 = 684,791,952/x
  3. Step 3: Cross multiply
    479,202,786x = 684,791,952 × 684,791,952
  4. Step 4: Simplify right side
    479,202,786x = 468,940,017,523,970,304
  5. Step 5: Solve for x
    x = 468,940,017,523,970,304/479,202,786
  6. Step 6: Final answer
    x = 978,583,662.75

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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.