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Finding the Third Proportional to 605,392 and 1,273,523

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Solution

The third proportional to 605,392 and 1,273,523 is: 2,679,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,392 : 1,273,523 = 1,273,523 : x
  2. Step 2: Convert to fraction form
    605,392/1,273,523 = 1,273,523/x
  3. Step 3: Cross multiply
    605,392x = 1,273,523 × 1,273,523
  4. Step 4: Simplify right side
    605,392x = 1,621,860,831,529
  5. Step 5: Solve for x
    x = 1,621,860,831,529/605,392
  6. Step 6: Final answer
    x = 2,679,025.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.