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Finding the Third Proportional to 703,744 and 1,518,080

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Solution

The third proportional to 703,744 and 1,518,080 is: 3,274,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,744 : 1,518,080 = 1,518,080 : x
  2. Step 2: Convert to fraction form
    703,744/1,518,080 = 1,518,080/x
  3. Step 3: Cross multiply
    703,744x = 1,518,080 × 1,518,080
  4. Step 4: Simplify right side
    703,744x = 2,304,566,886,400
  5. Step 5: Solve for x
    x = 2,304,566,886,400/703,744
  6. Step 6: Final answer
    x = 3,274,723.32

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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.