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Finding the Third Proportional to 579,970 and 1,273,414

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Solution

The third proportional to 579,970 and 1,273,414 is: 2,795,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,970 : 1,273,414 = 1,273,414 : x
  2. Step 2: Convert to fraction form
    579,970/1,273,414 = 1,273,414/x
  3. Step 3: Cross multiply
    579,970x = 1,273,414 × 1,273,414
  4. Step 4: Simplify right side
    579,970x = 1,621,583,215,396
  5. Step 5: Solve for x
    x = 1,621,583,215,396/579,970
  6. Step 6: Final answer
    x = 2,795,977.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.