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Finding the Third Proportional to 580,635 and 1,184,595

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Solution

The third proportional to 580,635 and 1,184,595 is: 2,416,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,635 : 1,184,595 = 1,184,595 : x
  2. Step 2: Convert to fraction form
    580,635/1,184,595 = 1,184,595/x
  3. Step 3: Cross multiply
    580,635x = 1,184,595 × 1,184,595
  4. Step 4: Simplify right side
    580,635x = 1,403,265,314,025
  5. Step 5: Solve for x
    x = 1,403,265,314,025/580,635
  6. Step 6: Final answer
    x = 2,416,777.00

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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.