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Finding the Third Proportional to 4,082,656.50 and 6,005,724.75

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Solution

The third proportional to 4,082,656.50 and 6,005,724.75 is: 8,834,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,656.50 : 6,005,724.75 = 6,005,724.75 : x
  2. Step 2: Convert to fraction form
    4,082,656.50/6,005,724.75 = 6,005,724.75/x
  3. Step 3: Cross multiply
    4,082,656.50x = 6,005,724.75 × 6,005,724.75
  4. Step 4: Simplify right side
    4,082,656.50x = 36,068,729,772,762.56
  5. Step 5: Solve for x
    x = 36,068,729,772,762.56/4,082,656.50
  6. Step 6: Final answer
    x = 8,834,622.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.