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Finding the Third Proportional to 580,859 and 1,250,707

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Solution

The third proportional to 580,859 and 1,250,707 is: 2,693,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,859 : 1,250,707 = 1,250,707 : x
  2. Step 2: Convert to fraction form
    580,859/1,250,707 = 1,250,707/x
  3. Step 3: Cross multiply
    580,859x = 1,250,707 × 1,250,707
  4. Step 4: Simplify right side
    580,859x = 1,564,267,999,849
  5. Step 5: Solve for x
    x = 1,564,267,999,849/580,859
  6. Step 6: Final answer
    x = 2,693,025.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.