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Finding the Third Proportional to 525,944 and 1,135,996

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Solution

The third proportional to 525,944 and 1,135,996 is: 2,453,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,944 : 1,135,996 = 1,135,996 : x
  2. Step 2: Convert to fraction form
    525,944/1,135,996 = 1,135,996/x
  3. Step 3: Cross multiply
    525,944x = 1,135,996 × 1,135,996
  4. Step 4: Simplify right side
    525,944x = 1,290,486,912,016
  5. Step 5: Solve for x
    x = 1,290,486,912,016/525,944
  6. Step 6: Final answer
    x = 2,453,658.40

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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.