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Finding the Third Proportional to 809,460 and 1,776,384

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Solution

The third proportional to 809,460 and 1,776,384 is: 3,898,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,460 : 1,776,384 = 1,776,384 : x
  2. Step 2: Convert to fraction form
    809,460/1,776,384 = 1,776,384/x
  3. Step 3: Cross multiply
    809,460x = 1,776,384 × 1,776,384
  4. Step 4: Simplify right side
    809,460x = 3,155,540,115,456
  5. Step 5: Solve for x
    x = 3,155,540,115,456/809,460
  6. Step 6: Final answer
    x = 3,898,327.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.