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Finding the Third Proportional to 3,211,474.50 and 4,696,629.75

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Solution

The third proportional to 3,211,474.50 and 4,696,629.75 is: 6,868,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,474.50 : 4,696,629.75 = 4,696,629.75 : x
  2. Step 2: Convert to fraction form
    3,211,474.50/4,696,629.75 = 4,696,629.75/x
  3. Step 3: Cross multiply
    3,211,474.50x = 4,696,629.75 × 4,696,629.75
  4. Step 4: Simplify right side
    3,211,474.50x = 22,058,331,008,585.06
  5. Step 5: Solve for x
    x = 22,058,331,008,585.06/3,211,474.50
  6. Step 6: Final answer
    x = 6,868,599.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.