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Finding the Third Proportional to 3,171,982 and 4,758,946

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Solution

The third proportional to 3,171,982 and 4,758,946 is: 7,139,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171,982 : 4,758,946 = 4,758,946 : x
  2. Step 2: Convert to fraction form
    3,171,982/4,758,946 = 4,758,946/x
  3. Step 3: Cross multiply
    3,171,982x = 4,758,946 × 4,758,946
  4. Step 4: Simplify right side
    3,171,982x = 22,647,567,030,916
  5. Step 5: Solve for x
    x = 22,647,567,030,916/3,171,982
  6. Step 6: Final answer
    x = 7,139,878.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.