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Finding the Third Proportional to 748,081 and 1,184,750

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Solution

The third proportional to 748,081 and 1,184,750 is: 1,876,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,081 : 1,184,750 = 1,184,750 : x
  2. Step 2: Convert to fraction form
    748,081/1,184,750 = 1,184,750/x
  3. Step 3: Cross multiply
    748,081x = 1,184,750 × 1,184,750
  4. Step 4: Simplify right side
    748,081x = 1,403,632,562,500
  5. Step 5: Solve for x
    x = 1,403,632,562,500/748,081
  6. Step 6: Final answer
    x = 1,876,310.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.