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Finding the Third Proportional to 703,458 and 1,431,768

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Solution

The third proportional to 703,458 and 1,431,768 is: 2,914,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,458 : 1,431,768 = 1,431,768 : x
  2. Step 2: Convert to fraction form
    703,458/1,431,768 = 1,431,768/x
  3. Step 3: Cross multiply
    703,458x = 1,431,768 × 1,431,768
  4. Step 4: Simplify right side
    703,458x = 2,049,959,605,824
  5. Step 5: Solve for x
    x = 2,049,959,605,824/703,458
  6. Step 6: Final answer
    x = 2,914,117.98

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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.