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Finding the Third Proportional to 3,997,665 and 5,697,486

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Solution

The third proportional to 3,997,665 and 5,697,486 is: 8,120,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,665 : 5,697,486 = 5,697,486 : x
  2. Step 2: Convert to fraction form
    3,997,665/5,697,486 = 5,697,486/x
  3. Step 3: Cross multiply
    3,997,665x = 5,697,486 × 5,697,486
  4. Step 4: Simplify right side
    3,997,665x = 32,461,346,720,196
  5. Step 5: Solve for x
    x = 32,461,346,720,196/3,997,665
  6. Step 6: Final answer
    x = 8,120,076.77

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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.