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Finding the Third Proportional to 579,775 and 1,262,475

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Solution

The third proportional to 579,775 and 1,262,475 is: 2,749,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,775 : 1,262,475 = 1,262,475 : x
  2. Step 2: Convert to fraction form
    579,775/1,262,475 = 1,262,475/x
  3. Step 3: Cross multiply
    579,775x = 1,262,475 × 1,262,475
  4. Step 4: Simplify right side
    579,775x = 1,593,843,125,625
  5. Step 5: Solve for x
    x = 1,593,843,125,625/579,775
  6. Step 6: Final answer
    x = 2,749,071.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.