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Finding the Third Proportional to 4,424,965 and 6,952,966

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Solution

The third proportional to 4,424,965 and 6,952,966 is: 10,925,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424,965 : 6,952,966 = 6,952,966 : x
  2. Step 2: Convert to fraction form
    4,424,965/6,952,966 = 6,952,966/x
  3. Step 3: Cross multiply
    4,424,965x = 6,952,966 × 6,952,966
  4. Step 4: Simplify right side
    4,424,965x = 48,343,736,197,156
  5. Step 5: Solve for x
    x = 48,343,736,197,156/4,424,965
  6. Step 6: Final answer
    x = 10,925,224.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.