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Finding the Third Proportional to 421,702 and 925,474

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Solution

The third proportional to 421,702 and 925,474 is: 2,031,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,702 : 925,474 = 925,474 : x
  2. Step 2: Convert to fraction form
    421,702/925,474 = 925,474/x
  3. Step 3: Cross multiply
    421,702x = 925,474 × 925,474
  4. Step 4: Simplify right side
    421,702x = 856,502,124,676
  5. Step 5: Solve for x
    x = 856,502,124,676/421,702
  6. Step 6: Final answer
    x = 2,031,060.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.