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Finding the Third Proportional to 996,937 and 1,462,093

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Solution

The third proportional to 996,937 and 1,462,093 is: 2,144,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,937 : 1,462,093 = 1,462,093 : x
  2. Step 2: Convert to fraction form
    996,937/1,462,093 = 1,462,093/x
  3. Step 3: Cross multiply
    996,937x = 1,462,093 × 1,462,093
  4. Step 4: Simplify right side
    996,937x = 2,137,715,940,649
  5. Step 5: Solve for x
    x = 2,137,715,940,649/996,937
  6. Step 6: Final answer
    x = 2,144,283.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.