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Finding the Third Proportional to 2,027,045 and 4,406,917

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Solution

The third proportional to 2,027,045 and 4,406,917 is: 9,580,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,045 : 4,406,917 = 4,406,917 : x
  2. Step 2: Convert to fraction form
    2,027,045/4,406,917 = 4,406,917/x
  3. Step 3: Cross multiply
    2,027,045x = 4,406,917 × 4,406,917
  4. Step 4: Simplify right side
    2,027,045x = 19,420,917,444,889
  5. Step 5: Solve for x
    x = 19,420,917,444,889/2,027,045
  6. Step 6: Final answer
    x = 9,580,900.99

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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.