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Finding the Third Proportional to 1,733,297 and 3,864,901

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Solution

The third proportional to 1,733,297 and 3,864,901 is: 8,617,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,297 : 3,864,901 = 3,864,901 : x
  2. Step 2: Convert to fraction form
    1,733,297/3,864,901 = 3,864,901/x
  3. Step 3: Cross multiply
    1,733,297x = 3,864,901 × 3,864,901
  4. Step 4: Simplify right side
    1,733,297x = 14,937,459,739,801
  5. Step 5: Solve for x
    x = 14,937,459,739,801/1,733,297
  6. Step 6: Final answer
    x = 8,617,945.88

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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.