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Finding the Third Proportional to 792,214 and 1,729,586

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Solution

The third proportional to 792,214 and 1,729,586 is: 3,776,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,214 : 1,729,586 = 1,729,586 : x
  2. Step 2: Convert to fraction form
    792,214/1,729,586 = 1,729,586/x
  3. Step 3: Cross multiply
    792,214x = 1,729,586 × 1,729,586
  4. Step 4: Simplify right side
    792,214x = 2,991,467,731,396
  5. Step 5: Solve for x
    x = 2,991,467,731,396/792,214
  6. Step 6: Final answer
    x = 3,776,085.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.