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Finding the Third Proportional to 4,397,514 and 6,727,057

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Solution

The third proportional to 4,397,514 and 6,727,057 is: 10,290,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397,514 : 6,727,057 = 6,727,057 : x
  2. Step 2: Convert to fraction form
    4,397,514/6,727,057 = 6,727,057/x
  3. Step 3: Cross multiply
    4,397,514x = 6,727,057 × 6,727,057
  4. Step 4: Simplify right side
    4,397,514x = 45,253,295,881,249
  5. Step 5: Solve for x
    x = 45,253,295,881,249/4,397,514
  6. Step 6: Final answer
    x = 10,290,654.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.