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Finding the Third Proportional to 4,301,696 and 6,602,934

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Solution

The third proportional to 4,301,696 and 6,602,934 is: 10,135,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301,696 : 6,602,934 = 6,602,934 : x
  2. Step 2: Convert to fraction form
    4,301,696/6,602,934 = 6,602,934/x
  3. Step 3: Cross multiply
    4,301,696x = 6,602,934 × 6,602,934
  4. Step 4: Simplify right side
    4,301,696x = 43,598,737,408,356
  5. Step 5: Solve for x
    x = 43,598,737,408,356/4,301,696
  6. Step 6: Final answer
    x = 10,135,243.73

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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.