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Finding the Third Proportional to 2,976,300.25 and 6,459,982.75

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Solution

The third proportional to 2,976,300.25 and 6,459,982.75 is: 14,021,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,300.25 : 6,459,982.75 = 6,459,982.75 : x
  2. Step 2: Convert to fraction form
    2,976,300.25/6,459,982.75 = 6,459,982.75/x
  3. Step 3: Cross multiply
    2,976,300.25x = 6,459,982.75 × 6,459,982.75
  4. Step 4: Simplify right side
    2,976,300.25x = 41,731,377,130,297.56
  5. Step 5: Solve for x
    x = 41,731,377,130,297.56/2,976,300.25
  6. Step 6: Final answer
    x = 14,021,225.56

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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.