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Finding the Third Proportional to 3,997,620 and 5,697,414

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Solution

The third proportional to 3,997,620 and 5,697,414 is: 8,119,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,620 : 5,697,414 = 5,697,414 : x
  2. Step 2: Convert to fraction form
    3,997,620/5,697,414 = 5,697,414/x
  3. Step 3: Cross multiply
    3,997,620x = 5,697,414 × 5,697,414
  4. Step 4: Simplify right side
    3,997,620x = 32,460,526,287,396
  5. Step 5: Solve for x
    x = 32,460,526,287,396/3,997,620
  6. Step 6: Final answer
    x = 8,119,962.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.