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Finding the Third Proportional to 579,566 and 1,255,600

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Solution

The third proportional to 579,566 and 1,255,600 is: 2,720,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,566 : 1,255,600 = 1,255,600 : x
  2. Step 2: Convert to fraction form
    579,566/1,255,600 = 1,255,600/x
  3. Step 3: Cross multiply
    579,566x = 1,255,600 × 1,255,600
  4. Step 4: Simplify right side
    579,566x = 1,576,531,360,000
  5. Step 5: Solve for x
    x = 1,576,531,360,000/579,566
  6. Step 6: Final answer
    x = 2,720,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.