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Finding the Third Proportional to 3,115,989 and 4,929,822

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Solution

The third proportional to 3,115,989 and 4,929,822 is: 7,799,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,989 : 4,929,822 = 4,929,822 : x
  2. Step 2: Convert to fraction form
    3,115,989/4,929,822 = 4,929,822/x
  3. Step 3: Cross multiply
    3,115,989x = 4,929,822 × 4,929,822
  4. Step 4: Simplify right side
    3,115,989x = 24,303,144,951,684
  5. Step 5: Solve for x
    x = 24,303,144,951,684/3,115,989
  6. Step 6: Final answer
    x = 7,799,496.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.