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Finding the Third Proportional to 580,932 and 1,276,416

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Solution

The third proportional to 580,932 and 1,276,416 is: 2,804,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,932 : 1,276,416 = 1,276,416 : x
  2. Step 2: Convert to fraction form
    580,932/1,276,416 = 1,276,416/x
  3. Step 3: Cross multiply
    580,932x = 1,276,416 × 1,276,416
  4. Step 4: Simplify right side
    580,932x = 1,629,237,805,056
  5. Step 5: Solve for x
    x = 1,629,237,805,056/580,932
  6. Step 6: Final answer
    x = 2,804,524.12

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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.