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Finding the Third Proportional to 1,654,022 and 3,561,469

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Solution

The third proportional to 1,654,022 and 3,561,469 is: 7,668,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,022 : 3,561,469 = 3,561,469 : x
  2. Step 2: Convert to fraction form
    1,654,022/3,561,469 = 3,561,469/x
  3. Step 3: Cross multiply
    1,654,022x = 3,561,469 × 3,561,469
  4. Step 4: Simplify right side
    1,654,022x = 12,684,061,437,961
  5. Step 5: Solve for x
    x = 12,684,061,437,961/1,654,022
  6. Step 6: Final answer
    x = 7,668,617.13

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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.