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Finding the Third Proportional to 1,210,992.75 and 2,854,648.13

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Solution

The third proportional to 1,210,992.75 and 2,854,648.13 is: 6,729,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,992.75 : 2,854,648.13 = 2,854,648.13 : x
  2. Step 2: Convert to fraction form
    1,210,992.75/2,854,648.13 = 2,854,648.13/x
  3. Step 3: Cross multiply
    1,210,992.75x = 2,854,648.13 × 2,854,648.13
  4. Step 4: Simplify right side
    1,210,992.75x = 8,149,015,917,566.02
  5. Step 5: Solve for x
    x = 8,149,015,917,566.02/1,210,992.75
  6. Step 6: Final answer
    x = 6,729,202.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.