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Finding the Third Proportional to 579,968 and 1,273,410

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Solution

The third proportional to 579,968 and 1,273,410 is: 2,795,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,968 : 1,273,410 = 1,273,410 : x
  2. Step 2: Convert to fraction form
    579,968/1,273,410 = 1,273,410/x
  3. Step 3: Cross multiply
    579,968x = 1,273,410 × 1,273,410
  4. Step 4: Simplify right side
    579,968x = 1,621,573,028,100
  5. Step 5: Solve for x
    x = 1,621,573,028,100/579,968
  6. Step 6: Final answer
    x = 2,795,969.83

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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.