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Finding the Third Proportional to 721,012 and 1,669,096

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Solution

The third proportional to 721,012 and 1,669,096 is: 3,863,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,012 : 1,669,096 = 1,669,096 : x
  2. Step 2: Convert to fraction form
    721,012/1,669,096 = 1,669,096/x
  3. Step 3: Cross multiply
    721,012x = 1,669,096 × 1,669,096
  4. Step 4: Simplify right side
    721,012x = 2,785,881,457,216
  5. Step 5: Solve for x
    x = 2,785,881,457,216/721,012
  6. Step 6: Final answer
    x = 3,863,848.95

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.