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Finding the Third Proportional to 721,012.50 and 1,669,097.25

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Solution

The third proportional to 721,012.50 and 1,669,097.25 is: 3,863,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,012.50 : 1,669,097.25 = 1,669,097.25 : x
  2. Step 2: Convert to fraction form
    721,012.50/1,669,097.25 = 1,669,097.25/x
  3. Step 3: Cross multiply
    721,012.50x = 1,669,097.25 × 1,669,097.25
  4. Step 4: Simplify right side
    721,012.50x = 2,785,885,629,957.56
  5. Step 5: Solve for x
    x = 2,785,885,629,957.56/721,012.50
  6. Step 6: Final answer
    x = 3,863,852.06

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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.