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Finding the Third Proportional to 605,391 and 1,273,521

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Solution

The third proportional to 605,391 and 1,273,521 is: 2,679,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,391 : 1,273,521 = 1,273,521 : x
  2. Step 2: Convert to fraction form
    605,391/1,273,521 = 1,273,521/x
  3. Step 3: Cross multiply
    605,391x = 1,273,521 × 1,273,521
  4. Step 4: Simplify right side
    605,391x = 1,621,855,737,441
  5. Step 5: Solve for x
    x = 1,621,855,737,441/605,391
  6. Step 6: Final answer
    x = 2,679,021.88

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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.