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Finding the Third Proportional to 525,879 and 1,151,265

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Solution

The third proportional to 525,879 and 1,151,265 is: 2,520,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,879 : 1,151,265 = 1,151,265 : x
  2. Step 2: Convert to fraction form
    525,879/1,151,265 = 1,151,265/x
  3. Step 3: Cross multiply
    525,879x = 1,151,265 × 1,151,265
  4. Step 4: Simplify right side
    525,879x = 1,325,411,100,225
  5. Step 5: Solve for x
    x = 1,325,411,100,225/525,879
  6. Step 6: Final answer
    x = 2,520,372.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.