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Finding the Third Proportional to 3,981,822 and 6,148,760

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Solution

The third proportional to 3,981,822 and 6,148,760 is: 9,494,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,822 : 6,148,760 = 6,148,760 : x
  2. Step 2: Convert to fraction form
    3,981,822/6,148,760 = 6,148,760/x
  3. Step 3: Cross multiply
    3,981,822x = 6,148,760 × 6,148,760
  4. Step 4: Simplify right side
    3,981,822x = 37,807,249,537,600
  5. Step 5: Solve for x
    x = 37,807,249,537,600/3,981,822
  6. Step 6: Final answer
    x = 9,494,962.24

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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.