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Finding the Third Proportional to 703,740 and 1,518,072

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Solution

The third proportional to 703,740 and 1,518,072 is: 3,274,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,740 : 1,518,072 = 1,518,072 : x
  2. Step 2: Convert to fraction form
    703,740/1,518,072 = 1,518,072/x
  3. Step 3: Cross multiply
    703,740x = 1,518,072 × 1,518,072
  4. Step 4: Simplify right side
    703,740x = 2,304,542,597,184
  5. Step 5: Solve for x
    x = 2,304,542,597,184/703,740
  6. Step 6: Final answer
    x = 3,274,707.42

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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.