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Finding the Third Proportional to 3,911,982 and 5,984,208

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Solution

The third proportional to 3,911,982 and 5,984,208 is: 9,154,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911,982 : 5,984,208 = 5,984,208 : x
  2. Step 2: Convert to fraction form
    3,911,982/5,984,208 = 5,984,208/x
  3. Step 3: Cross multiply
    3,911,982x = 5,984,208 × 5,984,208
  4. Step 4: Simplify right side
    3,911,982x = 35,810,745,387,264
  5. Step 5: Solve for x
    x = 35,810,745,387,264/3,911,982
  6. Step 6: Final answer
    x = 9,154,118.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.