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Finding the Third Proportional to 922,663 and 1,996,958

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Solution

The third proportional to 922,663 and 1,996,958 is: 4,322,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,663 : 1,996,958 = 1,996,958 : x
  2. Step 2: Convert to fraction form
    922,663/1,996,958 = 1,996,958/x
  3. Step 3: Cross multiply
    922,663x = 1,996,958 × 1,996,958
  4. Step 4: Simplify right side
    922,663x = 3,987,841,253,764
  5. Step 5: Solve for x
    x = 3,987,841,253,764/922,663
  6. Step 6: Final answer
    x = 4,322,099.46

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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.