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Finding the Third Proportional to 342,070 and 791,806

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Solution

The third proportional to 342,070 and 791,806 is: 1,832,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,070 : 791,806 = 791,806 : x
  2. Step 2: Convert to fraction form
    342,070/791,806 = 791,806/x
  3. Step 3: Cross multiply
    342,070x = 791,806 × 791,806
  4. Step 4: Simplify right side
    342,070x = 626,956,741,636
  5. Step 5: Solve for x
    x = 626,956,741,636/342,070
  6. Step 6: Final answer
    x = 1,832,831.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.