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Finding the Third Proportional to 582,615.75 and 1,246,186.50

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Solution

The third proportional to 582,615.75 and 1,246,186.50 is: 2,665,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,615.75 : 1,246,186.50 = 1,246,186.50 : x
  2. Step 2: Convert to fraction form
    582,615.75/1,246,186.50 = 1,246,186.50/x
  3. Step 3: Cross multiply
    582,615.75x = 1,246,186.50 × 1,246,186.50
  4. Step 4: Simplify right side
    582,615.75x = 1,552,980,792,782.25
  5. Step 5: Solve for x
    x = 1,552,980,792,782.25/582,615.75
  6. Step 6: Final answer
    x = 2,665,531.77

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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.