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Finding the Third Proportional to 2,976,314 and 6,460,012

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Solution

The third proportional to 2,976,314 and 6,460,012 is: 14,021,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,314 : 6,460,012 = 6,460,012 : x
  2. Step 2: Convert to fraction form
    2,976,314/6,460,012 = 6,460,012/x
  3. Step 3: Cross multiply
    2,976,314x = 6,460,012 × 6,460,012
  4. Step 4: Simplify right side
    2,976,314x = 41,731,755,040,144
  5. Step 5: Solve for x
    x = 41,731,755,040,144/2,976,314
  6. Step 6: Final answer
    x = 14,021,287.75

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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.