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Finding the Third Proportional to 525,840 and 1,151,190

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Solution

The third proportional to 525,840 and 1,151,190 is: 2,520,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,840 : 1,151,190 = 1,151,190 : x
  2. Step 2: Convert to fraction form
    525,840/1,151,190 = 1,151,190/x
  3. Step 3: Cross multiply
    525,840x = 1,151,190 × 1,151,190
  4. Step 4: Simplify right side
    525,840x = 1,325,238,416,100
  5. Step 5: Solve for x
    x = 1,325,238,416,100/525,840
  6. Step 6: Final answer
    x = 2,520,231.28

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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.