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Finding the Third Proportional to 996,822 and 2,124,124

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Solution

The third proportional to 996,822 and 2,124,124 is: 4,526,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,822 : 2,124,124 = 2,124,124 : x
  2. Step 2: Convert to fraction form
    996,822/2,124,124 = 2,124,124/x
  3. Step 3: Cross multiply
    996,822x = 2,124,124 × 2,124,124
  4. Step 4: Simplify right side
    996,822x = 4,511,902,767,376
  5. Step 5: Solve for x
    x = 4,511,902,767,376/996,822
  6. Step 6: Final answer
    x = 4,526,287.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.