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Finding the Third Proportional to 582,772 and 1,268,090

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Solution

The third proportional to 582,772 and 1,268,090 is: 2,759,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,772 : 1,268,090 = 1,268,090 : x
  2. Step 2: Convert to fraction form
    582,772/1,268,090 = 1,268,090/x
  3. Step 3: Cross multiply
    582,772x = 1,268,090 × 1,268,090
  4. Step 4: Simplify right side
    582,772x = 1,608,052,248,100
  5. Step 5: Solve for x
    x = 1,608,052,248,100/582,772
  6. Step 6: Final answer
    x = 2,759,316.25

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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.