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Finding the Third Proportional to 1,733,265 and 3,864,847

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Solution

The third proportional to 1,733,265 and 3,864,847 is: 8,617,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,265 : 3,864,847 = 3,864,847 : x
  2. Step 2: Convert to fraction form
    1,733,265/3,864,847 = 3,864,847/x
  3. Step 3: Cross multiply
    1,733,265x = 3,864,847 × 3,864,847
  4. Step 4: Simplify right side
    1,733,265x = 14,937,042,333,409
  5. Step 5: Solve for x
    x = 14,937,042,333,409/1,733,265
  6. Step 6: Final answer
    x = 8,617,864.17

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.