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Finding the Third Proportional to 1,021,978.27 and 2,213,261.09

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Solution

The third proportional to 1,021,978.27 and 2,213,261.09 is: 4,793,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,978.27 : 2,213,261.09 = 2,213,261.09 : x
  2. Step 2: Convert to fraction form
    1,021,978.27/2,213,261.09 = 2,213,261.09/x
  3. Step 3: Cross multiply
    1,021,978.27x = 2,213,261.09 × 2,213,261.09
  4. Step 4: Simplify right side
    1,021,978.27x = 4,898,524,634,525.24
  5. Step 5: Solve for x
    x = 4,898,524,634,525.24/1,021,978.27
  6. Step 6: Final answer
    x = 4,793,178.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.