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Finding the Third Proportional to 857,892 and 1,857,000

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Solution

The third proportional to 857,892 and 1,857,000 is: 4,019,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,892 : 1,857,000 = 1,857,000 : x
  2. Step 2: Convert to fraction form
    857,892/1,857,000 = 1,857,000/x
  3. Step 3: Cross multiply
    857,892x = 1,857,000 × 1,857,000
  4. Step 4: Simplify right side
    857,892x = 3,448,449,000,000
  5. Step 5: Solve for x
    x = 3,448,449,000,000/857,892
  6. Step 6: Final answer
    x = 4,019,677.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.