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Finding the Third Proportional to 2,902,436 and 6,777,684

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Solution

The third proportional to 2,902,436 and 6,777,684 is: 15,827,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,436 : 6,777,684 = 6,777,684 : x
  2. Step 2: Convert to fraction form
    2,902,436/6,777,684 = 6,777,684/x
  3. Step 3: Cross multiply
    2,902,436x = 6,777,684 × 6,777,684
  4. Step 4: Simplify right side
    2,902,436x = 45,937,000,403,856
  5. Step 5: Solve for x
    x = 45,937,000,403,856/2,902,436
  6. Step 6: Final answer
    x = 15,827,050.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.