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Finding the Third Proportional to 525,052 and 1,122,077

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Solution

The third proportional to 525,052 and 1,122,077 is: 2,397,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,052 : 1,122,077 = 1,122,077 : x
  2. Step 2: Convert to fraction form
    525,052/1,122,077 = 1,122,077/x
  3. Step 3: Cross multiply
    525,052x = 1,122,077 × 1,122,077
  4. Step 4: Simplify right side
    525,052x = 1,259,056,793,929
  5. Step 5: Solve for x
    x = 1,259,056,793,929/525,052
  6. Step 6: Final answer
    x = 2,397,965.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.