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Finding the Third Proportional to 509,471,536 and 1,091,638,976

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Solution

The third proportional to 509,471,536 and 1,091,638,976 is: 2,339,042,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,471,536 : 1,091,638,976 = 1,091,638,976 : x
  2. Step 2: Convert to fraction form
    509,471,536/1,091,638,976 = 1,091,638,976/x
  3. Step 3: Cross multiply
    509,471,536x = 1,091,638,976 × 1,091,638,976
  4. Step 4: Simplify right side
    509,471,536x = 1,191,675,653,922,328,576
  5. Step 5: Solve for x
    x = 1,191,675,653,922,328,576/509,471,536
  6. Step 6: Final answer
    x = 2,339,042,654.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.