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Finding the Third Proportional to 3,911,984 and 5,984,211

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Solution

The third proportional to 3,911,984 and 5,984,211 is: 9,154,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911,984 : 5,984,211 = 5,984,211 : x
  2. Step 2: Convert to fraction form
    3,911,984/5,984,211 = 5,984,211/x
  3. Step 3: Cross multiply
    3,911,984x = 5,984,211 × 5,984,211
  4. Step 4: Simplify right side
    3,911,984x = 35,810,781,292,521
  5. Step 5: Solve for x
    x = 35,810,781,292,521/3,911,984
  6. Step 6: Final answer
    x = 9,154,122.64

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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.