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Finding the Third Proportional to 703,512 and 1,431,870.75

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Solution

The third proportional to 703,512 and 1,431,870.75 is: 2,914,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,512 : 1,431,870.75 = 1,431,870.75 : x
  2. Step 2: Convert to fraction form
    703,512/1,431,870.75 = 1,431,870.75/x
  3. Step 3: Cross multiply
    703,512x = 1,431,870.75 × 1,431,870.75
  4. Step 4: Simplify right side
    703,512x = 2,050,253,844,705.56
  5. Step 5: Solve for x
    x = 2,050,253,844,705.56/703,512
  6. Step 6: Final answer
    x = 2,914,312.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.