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Finding the Third Proportional to 2,976,298 and 6,459,980

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Solution

The third proportional to 2,976,298 and 6,459,980 is: 14,021,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,298 : 6,459,980 = 6,459,980 : x
  2. Step 2: Convert to fraction form
    2,976,298/6,459,980 = 6,459,980/x
  3. Step 3: Cross multiply
    2,976,298x = 6,459,980 × 6,459,980
  4. Step 4: Simplify right side
    2,976,298x = 41,731,341,600,400
  5. Step 5: Solve for x
    x = 41,731,341,600,400/2,976,298
  6. Step 6: Final answer
    x = 14,021,224.22

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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.