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Finding the Third Proportional to 4,663,560 and 6,861,975

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Solution

The third proportional to 4,663,560 and 6,861,975 is: 10,096,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663,560 : 6,861,975 = 6,861,975 : x
  2. Step 2: Convert to fraction form
    4,663,560/6,861,975 = 6,861,975/x
  3. Step 3: Cross multiply
    4,663,560x = 6,861,975 × 6,861,975
  4. Step 4: Simplify right side
    4,663,560x = 47,086,700,900,625
  5. Step 5: Solve for x
    x = 47,086,700,900,625/4,663,560
  6. Step 6: Final answer
    x = 10,096,728.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.