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Finding the Third Proportional to 2,027,072 and 4,406,971

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Solution

The third proportional to 2,027,072 and 4,406,971 is: 9,581,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,072 : 4,406,971 = 4,406,971 : x
  2. Step 2: Convert to fraction form
    2,027,072/4,406,971 = 4,406,971/x
  3. Step 3: Cross multiply
    2,027,072x = 4,406,971 × 4,406,971
  4. Step 4: Simplify right side
    2,027,072x = 19,421,393,394,841
  5. Step 5: Solve for x
    x = 19,421,393,394,841/2,027,072
  6. Step 6: Final answer
    x = 9,581,008.17

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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.