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Finding the Third Proportional to 922,698 and 1,996,983

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Solution

The third proportional to 922,698 and 1,996,983 is: 4,322,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,698 : 1,996,983 = 1,996,983 : x
  2. Step 2: Convert to fraction form
    922,698/1,996,983 = 1,996,983/x
  3. Step 3: Cross multiply
    922,698x = 1,996,983 × 1,996,983
  4. Step 4: Simplify right side
    922,698x = 3,987,941,102,289
  5. Step 5: Solve for x
    x = 3,987,941,102,289/922,698
  6. Step 6: Final answer
    x = 4,322,043.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.