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Finding the Third Proportional to 585,087.75 and 1,257,471

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Solution

The third proportional to 585,087.75 and 1,257,471 is: 2,702,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,087.75 : 1,257,471 = 1,257,471 : x
  2. Step 2: Convert to fraction form
    585,087.75/1,257,471 = 1,257,471/x
  3. Step 3: Cross multiply
    585,087.75x = 1,257,471 × 1,257,471
  4. Step 4: Simplify right side
    585,087.75x = 1,581,233,315,841
  5. Step 5: Solve for x
    x = 1,581,233,315,841/585,087.75
  6. Step 6: Final answer
    x = 2,702,557.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.