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Finding the Third Proportional to 613,626.75 and 1,312,539.75

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Solution

The third proportional to 613,626.75 and 1,312,539.75 is: 2,807,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,626.75 : 1,312,539.75 = 1,312,539.75 : x
  2. Step 2: Convert to fraction form
    613,626.75/1,312,539.75 = 1,312,539.75/x
  3. Step 3: Cross multiply
    613,626.75x = 1,312,539.75 × 1,312,539.75
  4. Step 4: Simplify right side
    613,626.75x = 1,722,760,595,330.06
  5. Step 5: Solve for x
    x = 1,722,760,595,330.06/613,626.75
  6. Step 6: Final answer
    x = 2,807,505.70

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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.