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Finding the Third Proportional to 509,471,538 and 1,091,638,980

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Solution

The third proportional to 509,471,538 and 1,091,638,980 is: 2,339,042,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,471,538 : 1,091,638,980 = 1,091,638,980 : x
  2. Step 2: Convert to fraction form
    509,471,538/1,091,638,980 = 1,091,638,980/x
  3. Step 3: Cross multiply
    509,471,538x = 1,091,638,980 × 1,091,638,980
  4. Step 4: Simplify right side
    509,471,538x = 1,191,675,662,655,440,384
  5. Step 5: Solve for x
    x = 1,191,675,662,655,440,384/509,471,538
  6. Step 6: Final answer
    x = 2,339,042,662.39

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