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Finding the Third Proportional to 2,965,440 and 6,474,720

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Solution

The third proportional to 2,965,440 and 6,474,720 is: 14,136,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,440 : 6,474,720 = 6,474,720 : x
  2. Step 2: Convert to fraction form
    2,965,440/6,474,720 = 6,474,720/x
  3. Step 3: Cross multiply
    2,965,440x = 6,474,720 × 6,474,720
  4. Step 4: Simplify right side
    2,965,440x = 41,921,999,078,400
  5. Step 5: Solve for x
    x = 41,921,999,078,400/2,965,440
  6. Step 6: Final answer
    x = 14,136,856.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.