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Finding the Third Proportional to 525,996 and 1,150,407

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Solution

The third proportional to 525,996 and 1,150,407 is: 2,516,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,996 : 1,150,407 = 1,150,407 : x
  2. Step 2: Convert to fraction form
    525,996/1,150,407 = 1,150,407/x
  3. Step 3: Cross multiply
    525,996x = 1,150,407 × 1,150,407
  4. Step 4: Simplify right side
    525,996x = 1,323,436,265,649
  5. Step 5: Solve for x
    x = 1,323,436,265,649/525,996
  6. Step 6: Final answer
    x = 2,516,057.66

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