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Finding the Third Proportional to 3,534,276 and 5,440,410

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Solution

The third proportional to 3,534,276 and 5,440,410 is: 8,374,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,276 : 5,440,410 = 5,440,410 : x
  2. Step 2: Convert to fraction form
    3,534,276/5,440,410 = 5,440,410/x
  3. Step 3: Cross multiply
    3,534,276x = 5,440,410 × 5,440,410
  4. Step 4: Simplify right side
    3,534,276x = 29,598,060,968,100
  5. Step 5: Solve for x
    x = 29,598,060,968,100/3,534,276
  6. Step 6: Final answer
    x = 8,374,575.43

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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.