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Finding the Third Proportional to 3,997,623 and 5,697,418.50

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Solution

The third proportional to 3,997,623 and 5,697,418.50 is: 8,119,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997,623 : 5,697,418.50 = 5,697,418.50 : x
  2. Step 2: Convert to fraction form
    3,997,623/5,697,418.50 = 5,697,418.50/x
  3. Step 3: Cross multiply
    3,997,623x = 5,697,418.50 × 5,697,418.50
  4. Step 4: Simplify right side
    3,997,623x = 32,460,577,564,142.25
  5. Step 5: Solve for x
    x = 32,460,577,564,142.25/3,997,623
  6. Step 6: Final answer
    x = 8,119,969.68

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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.