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Finding the Third Proportional to 861,728 and 1,851,392

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Solution

The third proportional to 861,728 and 1,851,392 is: 3,977,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,728 : 1,851,392 = 1,851,392 : x
  2. Step 2: Convert to fraction form
    861,728/1,851,392 = 1,851,392/x
  3. Step 3: Cross multiply
    861,728x = 1,851,392 × 1,851,392
  4. Step 4: Simplify right side
    861,728x = 3,427,652,337,664
  5. Step 5: Solve for x
    x = 3,427,652,337,664/861,728
  6. Step 6: Final answer
    x = 3,977,649.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.