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Finding the Third Proportional to 4,953,936 and 6,976,188

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Solution

The third proportional to 4,953,936 and 6,976,188 is: 9,823,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953,936 : 6,976,188 = 6,976,188 : x
  2. Step 2: Convert to fraction form
    4,953,936/6,976,188 = 6,976,188/x
  3. Step 3: Cross multiply
    4,953,936x = 6,976,188 × 6,976,188
  4. Step 4: Simplify right side
    4,953,936x = 48,667,199,011,344
  5. Step 5: Solve for x
    x = 48,667,199,011,344/4,953,936
  6. Step 6: Final answer
    x = 9,823,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.