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Finding the Third Proportional to 580,633 and 1,184,593

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Solution

The third proportional to 580,633 and 1,184,593 is: 2,416,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,633 : 1,184,593 = 1,184,593 : x
  2. Step 2: Convert to fraction form
    580,633/1,184,593 = 1,184,593/x
  3. Step 3: Cross multiply
    580,633x = 1,184,593 × 1,184,593
  4. Step 4: Simplify right side
    580,633x = 1,403,260,575,649
  5. Step 5: Solve for x
    x = 1,403,260,575,649/580,633
  6. Step 6: Final answer
    x = 2,416,777.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.