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Finding the Third Proportional to 703,741 and 1,518,074

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Solution

The third proportional to 703,741 and 1,518,074 is: 3,274,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,741 : 1,518,074 = 1,518,074 : x
  2. Step 2: Convert to fraction form
    703,741/1,518,074 = 1,518,074/x
  3. Step 3: Cross multiply
    703,741x = 1,518,074 × 1,518,074
  4. Step 4: Simplify right side
    703,741x = 2,304,548,669,476
  5. Step 5: Solve for x
    x = 2,304,548,669,476/703,741
  6. Step 6: Final answer
    x = 3,274,711.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.