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Finding the Third Proportional to 582,641.25 and 1,271,199

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Solution

The third proportional to 582,641.25 and 1,271,199 is: 2,773,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,641.25 : 1,271,199 = 1,271,199 : x
  2. Step 2: Convert to fraction form
    582,641.25/1,271,199 = 1,271,199/x
  3. Step 3: Cross multiply
    582,641.25x = 1,271,199 × 1,271,199
  4. Step 4: Simplify right side
    582,641.25x = 1,615,946,897,601
  5. Step 5: Solve for x
    x = 1,615,946,897,601/582,641.25
  6. Step 6: Final answer
    x = 2,773,485.22

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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.