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Finding the Third Proportional to 6,841,404 and 9,214,903

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Solution

The third proportional to 6,841,404 and 9,214,903 is: 12,411,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,404 : 9,214,903 = 9,214,903 : x
  2. Step 2: Convert to fraction form
    6,841,404/9,214,903 = 9,214,903/x
  3. Step 3: Cross multiply
    6,841,404x = 9,214,903 × 9,214,903
  4. Step 4: Simplify right side
    6,841,404x = 84,914,437,299,409
  5. Step 5: Solve for x
    x = 84,914,437,299,409/6,841,404
  6. Step 6: Final answer
    x = 12,411,843.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.