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Finding the Third Proportional to 521,064 and 1,083,600

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Solution

The third proportional to 521,064 and 1,083,600 is: 2,253,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,064 : 1,083,600 = 1,083,600 : x
  2. Step 2: Convert to fraction form
    521,064/1,083,600 = 1,083,600/x
  3. Step 3: Cross multiply
    521,064x = 1,083,600 × 1,083,600
  4. Step 4: Simplify right side
    521,064x = 1,174,188,960,000
  5. Step 5: Solve for x
    x = 1,174,188,960,000/521,064
  6. Step 6: Final answer
    x = 2,253,444.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.