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Finding the Third Proportional to 847,876 and 1,796,840

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Solution

The third proportional to 847,876 and 1,796,840 is: 3,807,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,876 : 1,796,840 = 1,796,840 : x
  2. Step 2: Convert to fraction form
    847,876/1,796,840 = 1,796,840/x
  3. Step 3: Cross multiply
    847,876x = 1,796,840 × 1,796,840
  4. Step 4: Simplify right side
    847,876x = 3,228,633,985,600
  5. Step 5: Solve for x
    x = 3,228,633,985,600/847,876
  6. Step 6: Final answer
    x = 3,807,908.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.