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Finding the Third Proportional to 1,772,512 and 3,865,832

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Solution

The third proportional to 1,772,512 and 3,865,832 is: 8,431,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,512 : 3,865,832 = 3,865,832 : x
  2. Step 2: Convert to fraction form
    1,772,512/3,865,832 = 3,865,832/x
  3. Step 3: Cross multiply
    1,772,512x = 3,865,832 × 3,865,832
  4. Step 4: Simplify right side
    1,772,512x = 14,944,657,052,224
  5. Step 5: Solve for x
    x = 14,944,657,052,224/1,772,512
  6. Step 6: Final answer
    x = 8,431,343.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.