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Finding the Third Proportional to 684,672.75 and 1,065,760.03

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Solution

The third proportional to 684,672.75 and 1,065,760.03 is: 1,658,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,672.75 : 1,065,760.03 = 1,065,760.03 : x
  2. Step 2: Convert to fraction form
    684,672.75/1,065,760.03 = 1,065,760.03/x
  3. Step 3: Cross multiply
    684,672.75x = 1,065,760.03 × 1,065,760.03
  4. Step 4: Simplify right side
    684,672.75x = 1,135,844,444,210.00
  5. Step 5: Solve for x
    x = 1,135,844,444,210.00/684,672.75
  6. Step 6: Final answer
    x = 1,658,959.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.