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Finding the Third Proportional to 611,691.75 and 1,304,879.63

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Solution

The third proportional to 611,691.75 and 1,304,879.63 is: 2,783,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,691.75 : 1,304,879.63 = 1,304,879.63 : x
  2. Step 2: Convert to fraction form
    611,691.75/1,304,879.63 = 1,304,879.63/x
  3. Step 3: Cross multiply
    611,691.75x = 1,304,879.63 × 1,304,879.63
  4. Step 4: Simplify right side
    611,691.75x = 1,702,710,835,740.14
  5. Step 5: Solve for x
    x = 1,702,710,835,740.14/611,691.75
  6. Step 6: Final answer
    x = 2,783,609.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.