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Finding the Third Proportional to 1,828,173 and 3,961,419

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Solution

The third proportional to 1,828,173 and 3,961,419 is: 8,583,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,173 : 3,961,419 = 3,961,419 : x
  2. Step 2: Convert to fraction form
    1,828,173/3,961,419 = 3,961,419/x
  3. Step 3: Cross multiply
    1,828,173x = 3,961,419 × 3,961,419
  4. Step 4: Simplify right side
    1,828,173x = 15,692,840,493,561
  5. Step 5: Solve for x
    x = 15,692,840,493,561/1,828,173
  6. Step 6: Final answer
    x = 8,583,892.49

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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.