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Finding the Third Proportional to 864,000 and 1,885,218

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Solution

The third proportional to 864,000 and 1,885,218 is: 4,113,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,000 : 1,885,218 = 1,885,218 : x
  2. Step 2: Convert to fraction form
    864,000/1,885,218 = 1,885,218/x
  3. Step 3: Cross multiply
    864,000x = 1,885,218 × 1,885,218
  4. Step 4: Simplify right side
    864,000x = 3,554,046,907,524
  5. Step 5: Solve for x
    x = 3,554,046,907,524/864,000
  6. Step 6: Final answer
    x = 4,113,480.22

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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.