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Finding the Third Proportional to 850,220 and 1,796,410

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Solution

The third proportional to 850,220 and 1,796,410 is: 3,795,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,220 : 1,796,410 = 1,796,410 : x
  2. Step 2: Convert to fraction form
    850,220/1,796,410 = 1,796,410/x
  3. Step 3: Cross multiply
    850,220x = 1,796,410 × 1,796,410
  4. Step 4: Simplify right side
    850,220x = 3,227,088,888,100
  5. Step 5: Solve for x
    x = 3,227,088,888,100/850,220
  6. Step 6: Final answer
    x = 3,795,592.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.