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Finding the Third Proportional to 806,384 and 1,191,189

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Solution

The third proportional to 806,384 and 1,191,189 is: 1,759,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,384 : 1,191,189 = 1,191,189 : x
  2. Step 2: Convert to fraction form
    806,384/1,191,189 = 1,191,189/x
  3. Step 3: Cross multiply
    806,384x = 1,191,189 × 1,191,189
  4. Step 4: Simplify right side
    806,384x = 1,418,931,233,721
  5. Step 5: Solve for x
    x = 1,418,931,233,721/806,384
  6. Step 6: Final answer
    x = 1,759,622.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.