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Finding the Third Proportional to 3,981,830 and 6,148,769

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Solution

The third proportional to 3,981,830 and 6,148,769 is: 9,494,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,830 : 6,148,769 = 6,148,769 : x
  2. Step 2: Convert to fraction form
    3,981,830/6,148,769 = 6,148,769/x
  3. Step 3: Cross multiply
    3,981,830x = 6,148,769 × 6,148,769
  4. Step 4: Simplify right side
    3,981,830x = 37,807,360,215,361
  5. Step 5: Solve for x
    x = 37,807,360,215,361/3,981,830
  6. Step 6: Final answer
    x = 9,494,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.