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Finding the Third Proportional to 853,571 and 1,864,630

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Solution

The third proportional to 853,571 and 1,864,630 is: 4,073,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,571 : 1,864,630 = 1,864,630 : x
  2. Step 2: Convert to fraction form
    853,571/1,864,630 = 1,864,630/x
  3. Step 3: Cross multiply
    853,571x = 1,864,630 × 1,864,630
  4. Step 4: Simplify right side
    853,571x = 3,476,845,036,900
  5. Step 5: Solve for x
    x = 3,476,845,036,900/853,571
  6. Step 6: Final answer
    x = 4,073,293.30

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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.