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Finding the Third Proportional to 827,216 and 1,737,900

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Solution

The third proportional to 827,216 and 1,737,900 is: 3,651,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,216 : 1,737,900 = 1,737,900 : x
  2. Step 2: Convert to fraction form
    827,216/1,737,900 = 1,737,900/x
  3. Step 3: Cross multiply
    827,216x = 1,737,900 × 1,737,900
  4. Step 4: Simplify right side
    827,216x = 3,020,296,410,000
  5. Step 5: Solve for x
    x = 3,020,296,410,000/827,216
  6. Step 6: Final answer
    x = 3,651,158.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.