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Finding the Third Proportional to 793,221 and 1,191,588

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Solution

The third proportional to 793,221 and 1,191,588 is: 1,790,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,221 : 1,191,588 = 1,191,588 : x
  2. Step 2: Convert to fraction form
    793,221/1,191,588 = 1,191,588/x
  3. Step 3: Cross multiply
    793,221x = 1,191,588 × 1,191,588
  4. Step 4: Simplify right side
    793,221x = 1,419,881,961,744
  5. Step 5: Solve for x
    x = 1,419,881,961,744/793,221
  6. Step 6: Final answer
    x = 1,790,020.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.