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Finding the Third Proportional to 703,524 and 1,431,888

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Solution

The third proportional to 703,524 and 1,431,888 is: 2,914,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,524 : 1,431,888 = 1,431,888 : x
  2. Step 2: Convert to fraction form
    703,524/1,431,888 = 1,431,888/x
  3. Step 3: Cross multiply
    703,524x = 1,431,888 × 1,431,888
  4. Step 4: Simplify right side
    703,524x = 2,050,303,244,544
  5. Step 5: Solve for x
    x = 2,050,303,244,544/703,524
  6. Step 6: Final answer
    x = 2,914,333.05

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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.