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Finding the Third Proportional to 829,776 and 1,820,192

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Solution

The third proportional to 829,776 and 1,820,192 is: 3,992,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,776 : 1,820,192 = 1,820,192 : x
  2. Step 2: Convert to fraction form
    829,776/1,820,192 = 1,820,192/x
  3. Step 3: Cross multiply
    829,776x = 1,820,192 × 1,820,192
  4. Step 4: Simplify right side
    829,776x = 3,313,098,916,864
  5. Step 5: Solve for x
    x = 3,313,098,916,864/829,776
  6. Step 6: Final answer
    x = 3,992,763.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.