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Finding the Third Proportional to 727,944 and 1,531,161

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Solution

The third proportional to 727,944 and 1,531,161 is: 3,220,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,944 : 1,531,161 = 1,531,161 : x
  2. Step 2: Convert to fraction form
    727,944/1,531,161 = 1,531,161/x
  3. Step 3: Cross multiply
    727,944x = 1,531,161 × 1,531,161
  4. Step 4: Simplify right side
    727,944x = 2,344,454,007,921
  5. Step 5: Solve for x
    x = 2,344,454,007,921/727,944
  6. Step 6: Final answer
    x = 3,220,651.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.