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Finding the Third Proportional to 5,791,839 and 7,857,156

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Solution

The third proportional to 5,791,839 and 7,857,156 is: 10,658,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791,839 : 7,857,156 = 7,857,156 : x
  2. Step 2: Convert to fraction form
    5,791,839/7,857,156 = 7,857,156/x
  3. Step 3: Cross multiply
    5,791,839x = 7,857,156 × 7,857,156
  4. Step 4: Simplify right side
    5,791,839x = 61,734,900,408,336
  5. Step 5: Solve for x
    x = 61,734,900,408,336/5,791,839
  6. Step 6: Final answer
    x = 10,658,946.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.