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Finding the Third Proportional to 1,384,047 and 2,975,022

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Solution

The third proportional to 1,384,047 and 2,975,022 is: 6,394,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,047 : 2,975,022 = 2,975,022 : x
  2. Step 2: Convert to fraction form
    1,384,047/2,975,022 = 2,975,022/x
  3. Step 3: Cross multiply
    1,384,047x = 2,975,022 × 2,975,022
  4. Step 4: Simplify right side
    1,384,047x = 8,850,755,900,484
  5. Step 5: Solve for x
    x = 8,850,755,900,484/1,384,047
  6. Step 6: Final answer
    x = 6,394,837.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.