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Finding the Third Proportional to 2,051,434 and 4,464,092

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Solution

The third proportional to 2,051,434 and 4,464,092 is: 9,714,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,434 : 4,464,092 = 4,464,092 : x
  2. Step 2: Convert to fraction form
    2,051,434/4,464,092 = 4,464,092/x
  3. Step 3: Cross multiply
    2,051,434x = 4,464,092 × 4,464,092
  4. Step 4: Simplify right side
    2,051,434x = 19,928,117,384,464
  5. Step 5: Solve for x
    x = 19,928,117,384,464/2,051,434
  6. Step 6: Final answer
    x = 9,714,237.64

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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.