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Finding the Third Proportional to 2,976,288 and 6,459,960

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Solution

The third proportional to 2,976,288 and 6,459,960 is: 14,021,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,288 : 6,459,960 = 6,459,960 : x
  2. Step 2: Convert to fraction form
    2,976,288/6,459,960 = 6,459,960/x
  3. Step 3: Cross multiply
    2,976,288x = 6,459,960 × 6,459,960
  4. Step 4: Simplify right side
    2,976,288x = 41,731,083,201,600
  5. Step 5: Solve for x
    x = 41,731,083,201,600/2,976,288
  6. Step 6: Final answer
    x = 14,021,184.51

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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.