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Finding the Third Proportional to 847,802 and 1,796,692

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Solution

The third proportional to 847,802 and 1,796,692 is: 3,807,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,802 : 1,796,692 = 1,796,692 : x
  2. Step 2: Convert to fraction form
    847,802/1,796,692 = 1,796,692/x
  3. Step 3: Cross multiply
    847,802x = 1,796,692 × 1,796,692
  4. Step 4: Simplify right side
    847,802x = 3,228,102,142,864
  5. Step 5: Solve for x
    x = 3,228,102,142,864/847,802
  6. Step 6: Final answer
    x = 3,807,613.27

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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.