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Finding the Third Proportional to 610,670.75 and 1,305,202.19

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Solution

The third proportional to 610,670.75 and 1,305,202.19 is: 2,789,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,670.75 : 1,305,202.19 = 1,305,202.19 : x
  2. Step 2: Convert to fraction form
    610,670.75/1,305,202.19 = 1,305,202.19/x
  3. Step 3: Cross multiply
    610,670.75x = 1,305,202.19 × 1,305,202.19
  4. Step 4: Simplify right side
    610,670.75x = 1,703,552,750,254.79
  5. Step 5: Solve for x
    x = 1,703,552,750,254.79/610,670.75
  6. Step 6: Final answer
    x = 2,789,641.96

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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.