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Finding the Third Proportional to 1,681,566 and 3,690,156

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Solution

The third proportional to 1,681,566 and 3,690,156 is: 8,097,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,566 : 3,690,156 = 3,690,156 : x
  2. Step 2: Convert to fraction form
    1,681,566/3,690,156 = 3,690,156/x
  3. Step 3: Cross multiply
    1,681,566x = 3,690,156 × 3,690,156
  4. Step 4: Simplify right side
    1,681,566x = 13,617,251,304,336
  5. Step 5: Solve for x
    x = 13,617,251,304,336/1,681,566
  6. Step 6: Final answer
    x = 8,097,958.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.