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Finding the Third Proportional to 3,829,769 and 5,929,797

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Solution

The third proportional to 3,829,769 and 5,929,797 is: 9,181,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,769 : 5,929,797 = 5,929,797 : x
  2. Step 2: Convert to fraction form
    3,829,769/5,929,797 = 5,929,797/x
  3. Step 3: Cross multiply
    3,829,769x = 5,929,797 × 5,929,797
  4. Step 4: Simplify right side
    3,829,769x = 35,162,492,461,209
  5. Step 5: Solve for x
    x = 35,162,492,461,209/3,829,769
  6. Step 6: Final answer
    x = 9,181,361.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.