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Finding the Third Proportional to 525,059 and 1,122,088

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Solution

The third proportional to 525,059 and 1,122,088 is: 2,397,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,059 : 1,122,088 = 1,122,088 : x
  2. Step 2: Convert to fraction form
    525,059/1,122,088 = 1,122,088/x
  3. Step 3: Cross multiply
    525,059x = 1,122,088 × 1,122,088
  4. Step 4: Simplify right side
    525,059x = 1,259,081,479,744
  5. Step 5: Solve for x
    x = 1,259,081,479,744/525,059
  6. Step 6: Final answer
    x = 2,397,980.95

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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.