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Finding the Third Proportional to 1,197,939 and 2,616,948

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Solution

The third proportional to 1,197,939 and 2,616,948 is: 5,716,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,939 : 2,616,948 = 2,616,948 : x
  2. Step 2: Convert to fraction form
    1,197,939/2,616,948 = 2,616,948/x
  3. Step 3: Cross multiply
    1,197,939x = 2,616,948 × 2,616,948
  4. Step 4: Simplify right side
    1,197,939x = 6,848,416,834,704
  5. Step 5: Solve for x
    x = 6,848,416,834,704/1,197,939
  6. Step 6: Final answer
    x = 5,716,832.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.