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Finding the Third Proportional to 3,896,191.13 and 5,867,657.72

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Solution

The third proportional to 3,896,191.13 and 5,867,657.72 is: 8,836,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896,191.13 : 5,867,657.72 = 5,867,657.72 : x
  2. Step 2: Convert to fraction form
    3,896,191.13/5,867,657.72 = 5,867,657.72/x
  3. Step 3: Cross multiply
    3,896,191.13x = 5,867,657.72 × 5,867,657.72
  4. Step 4: Simplify right side
    3,896,191.13x = 34,429,407,104,406.45
  5. Step 5: Solve for x
    x = 34,429,407,104,406.45/3,896,191.13
  6. Step 6: Final answer
    x = 8,836,683.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.