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Finding the Third Proportional to 582,806 and 1,268,158

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Solution

The third proportional to 582,806 and 1,268,158 is: 2,759,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,806 : 1,268,158 = 1,268,158 : x
  2. Step 2: Convert to fraction form
    582,806/1,268,158 = 1,268,158/x
  3. Step 3: Cross multiply
    582,806x = 1,268,158 × 1,268,158
  4. Step 4: Simplify right side
    582,806x = 1,608,224,712,964
  5. Step 5: Solve for x
    x = 1,608,224,712,964/582,806
  6. Step 6: Final answer
    x = 2,759,451.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.