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Finding the Third Proportional to 841,193 and 1,824,361

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Solution

The third proportional to 841,193 and 1,824,361 is: 3,956,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,193 : 1,824,361 = 1,824,361 : x
  2. Step 2: Convert to fraction form
    841,193/1,824,361 = 1,824,361/x
  3. Step 3: Cross multiply
    841,193x = 1,824,361 × 1,824,361
  4. Step 4: Simplify right side
    841,193x = 3,328,293,058,321
  5. Step 5: Solve for x
    x = 3,328,293,058,321/841,193
  6. Step 6: Final answer
    x = 3,956,634.28

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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.