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Finding the Third Proportional to 707,877 and 1,540,170

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Solution

The third proportional to 707,877 and 1,540,170 is: 3,351,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,877 : 1,540,170 = 1,540,170 : x
  2. Step 2: Convert to fraction form
    707,877/1,540,170 = 1,540,170/x
  3. Step 3: Cross multiply
    707,877x = 1,540,170 × 1,540,170
  4. Step 4: Simplify right side
    707,877x = 2,372,123,628,900
  5. Step 5: Solve for x
    x = 2,372,123,628,900/707,877
  6. Step 6: Final answer
    x = 3,351,039.28

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Why These Related Problems?

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