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Finding the Third Proportional to 580,632 and 1,184,591

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Solution

The third proportional to 580,632 and 1,184,591 is: 2,416,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,632 : 1,184,591 = 1,184,591 : x
  2. Step 2: Convert to fraction form
    580,632/1,184,591 = 1,184,591/x
  3. Step 3: Cross multiply
    580,632x = 1,184,591 × 1,184,591
  4. Step 4: Simplify right side
    580,632x = 1,403,255,837,281
  5. Step 5: Solve for x
    x = 1,403,255,837,281/580,632
  6. Step 6: Final answer
    x = 2,416,773.17

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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.