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Finding the Third Proportional to 793,214 and 1,546,576

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Solution

The third proportional to 793,214 and 1,546,576 is: 3,015,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,214 : 1,546,576 = 1,546,576 : x
  2. Step 2: Convert to fraction form
    793,214/1,546,576 = 1,546,576/x
  3. Step 3: Cross multiply
    793,214x = 1,546,576 × 1,546,576
  4. Step 4: Simplify right side
    793,214x = 2,391,897,323,776
  5. Step 5: Solve for x
    x = 2,391,897,323,776/793,214
  6. Step 6: Final answer
    x = 3,015,450.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.