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Finding the Third Proportional to 1,764,372 and 3,827,419

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Solution

The third proportional to 1,764,372 and 3,827,419 is: 8,302,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,372 : 3,827,419 = 3,827,419 : x
  2. Step 2: Convert to fraction form
    1,764,372/3,827,419 = 3,827,419/x
  3. Step 3: Cross multiply
    1,764,372x = 3,827,419 × 3,827,419
  4. Step 4: Simplify right side
    1,764,372x = 14,649,136,201,561
  5. Step 5: Solve for x
    x = 14,649,136,201,561/1,764,372
  6. Step 6: Final answer
    x = 8,302,748.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.