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Finding the Third Proportional to 525,960 and 1,135,968

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Solution

The third proportional to 525,960 and 1,135,968 is: 2,453,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,960 : 1,135,968 = 1,135,968 : x
  2. Step 2: Convert to fraction form
    525,960/1,135,968 = 1,135,968/x
  3. Step 3: Cross multiply
    525,960x = 1,135,968 × 1,135,968
  4. Step 4: Simplify right side
    525,960x = 1,290,423,297,024
  5. Step 5: Solve for x
    x = 1,290,423,297,024/525,960
  6. Step 6: Final answer
    x = 2,453,462.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.