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Finding the Third Proportional to 684,728.88 and 1,068,545.50

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Solution

The third proportional to 684,728.88 and 1,068,545.50 is: 1,667,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,728.88 : 1,068,545.50 = 1,068,545.50 : x
  2. Step 2: Convert to fraction form
    684,728.88/1,068,545.50 = 1,068,545.50/x
  3. Step 3: Cross multiply
    684,728.88x = 1,068,545.50 × 1,068,545.50
  4. Step 4: Simplify right side
    684,728.88x = 1,141,789,485,570.25
  5. Step 5: Solve for x
    x = 1,141,789,485,570.25/684,728.88
  6. Step 6: Final answer
    x = 1,667,505.97

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Why These Related Problems?

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