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Finding the Third Proportional to 1,406,067 and 3,011,417

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Solution

The third proportional to 1,406,067 and 3,011,417 is: 6,449,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,067 : 3,011,417 = 3,011,417 : x
  2. Step 2: Convert to fraction form
    1,406,067/3,011,417 = 3,011,417/x
  3. Step 3: Cross multiply
    1,406,067x = 3,011,417 × 3,011,417
  4. Step 4: Simplify right side
    1,406,067x = 9,068,632,347,889
  5. Step 5: Solve for x
    x = 9,068,632,347,889/1,406,067
  6. Step 6: Final answer
    x = 6,449,644.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.