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Finding the Third Proportional to 707,870 and 1,540,156

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Solution

The third proportional to 707,870 and 1,540,156 is: 3,351,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,870 : 1,540,156 = 1,540,156 : x
  2. Step 2: Convert to fraction form
    707,870/1,540,156 = 1,540,156/x
  3. Step 3: Cross multiply
    707,870x = 1,540,156 × 1,540,156
  4. Step 4: Simplify right side
    707,870x = 2,372,080,504,336
  5. Step 5: Solve for x
    x = 2,372,080,504,336/707,870
  6. Step 6: Final answer
    x = 3,351,011.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.