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Finding the Third Proportional to 3,196,578 and 4,827,923

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Solution

The third proportional to 3,196,578 and 4,827,923 is: 7,291,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,578 : 4,827,923 = 4,827,923 : x
  2. Step 2: Convert to fraction form
    3,196,578/4,827,923 = 4,827,923/x
  3. Step 3: Cross multiply
    3,196,578x = 4,827,923 × 4,827,923
  4. Step 4: Simplify right side
    3,196,578x = 23,308,840,493,929
  5. Step 5: Solve for x
    x = 23,308,840,493,929/3,196,578
  6. Step 6: Final answer
    x = 7,291,810.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.