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Finding the Third Proportional to 703,432 and 1,431,721

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Solution

The third proportional to 703,432 and 1,431,721 is: 2,914,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,432 : 1,431,721 = 1,431,721 : x
  2. Step 2: Convert to fraction form
    703,432/1,431,721 = 1,431,721/x
  3. Step 3: Cross multiply
    703,432x = 1,431,721 × 1,431,721
  4. Step 4: Simplify right side
    703,432x = 2,049,825,021,841
  5. Step 5: Solve for x
    x = 2,049,825,021,841/703,432
  6. Step 6: Final answer
    x = 2,914,034.37

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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.