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Finding the Third Proportional to 4,125,894 and 6,196,635

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Solution

The third proportional to 4,125,894 and 6,196,635 is: 9,306,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,894 : 6,196,635 = 6,196,635 : x
  2. Step 2: Convert to fraction form
    4,125,894/6,196,635 = 6,196,635/x
  3. Step 3: Cross multiply
    4,125,894x = 6,196,635 × 6,196,635
  4. Step 4: Simplify right side
    4,125,894x = 38,398,285,323,225
  5. Step 5: Solve for x
    x = 38,398,285,323,225/4,125,894
  6. Step 6: Final answer
    x = 9,306,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.