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Finding the Third Proportional to 584,179,172 and 835,321,956

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Solution

The third proportional to 584,179,172 and 835,321,956 is: 1,194,432,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,179,172 : 835,321,956 = 835,321,956 : x
  2. Step 2: Convert to fraction form
    584,179,172/835,321,956 = 835,321,956/x
  3. Step 3: Cross multiply
    584,179,172x = 835,321,956 × 835,321,956
  4. Step 4: Simplify right side
    584,179,172x = 697,762,770,175,665,920
  5. Step 5: Solve for x
    x = 697,762,770,175,665,920/584,179,172
  6. Step 6: Final answer
    x = 1,194,432,810.38

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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.