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Finding the Third Proportional to 580,620 and 1,285,656

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Solution

The third proportional to 580,620 and 1,285,656 is: 2,846,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,620 : 1,285,656 = 1,285,656 : x
  2. Step 2: Convert to fraction form
    580,620/1,285,656 = 1,285,656/x
  3. Step 3: Cross multiply
    580,620x = 1,285,656 × 1,285,656
  4. Step 4: Simplify right side
    580,620x = 1,652,911,350,336
  5. Step 5: Solve for x
    x = 1,652,911,350,336/580,620
  6. Step 6: Final answer
    x = 2,846,804.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.