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Finding the Third Proportional to 2,027,984 and 4,406,296

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Solution

The third proportional to 2,027,984 and 4,406,296 is: 9,573,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,984 : 4,406,296 = 4,406,296 : x
  2. Step 2: Convert to fraction form
    2,027,984/4,406,296 = 4,406,296/x
  3. Step 3: Cross multiply
    2,027,984x = 4,406,296 × 4,406,296
  4. Step 4: Simplify right side
    2,027,984x = 19,415,444,439,616
  5. Step 5: Solve for x
    x = 19,415,444,439,616/2,027,984
  6. Step 6: Final answer
    x = 9,573,766.08

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