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Finding the Third Proportional to 416,396 and 925,960

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Solution

The third proportional to 416,396 and 925,960 is: 2,059,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396 : 925,960 = 925,960 : x
  2. Step 2: Convert to fraction form
    416,396/925,960 = 925,960/x
  3. Step 3: Cross multiply
    416,396x = 925,960 × 925,960
  4. Step 4: Simplify right side
    416,396x = 857,401,921,600
  5. Step 5: Solve for x
    x = 857,401,921,600/416,396
  6. Step 6: Final answer
    x = 2,059,102.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.