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Finding the Third Proportional to 363,070 and 789,106

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Solution

The third proportional to 363,070 and 789,106 is: 1,715,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,070 : 789,106 = 789,106 : x
  2. Step 2: Convert to fraction form
    363,070/789,106 = 789,106/x
  3. Step 3: Cross multiply
    363,070x = 789,106 × 789,106
  4. Step 4: Simplify right side
    363,070x = 622,688,279,236
  5. Step 5: Solve for x
    x = 622,688,279,236/363,070
  6. Step 6: Final answer
    x = 1,715,063.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.