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Finding the Third Proportional to 685,623 and 1,476,606

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Solution

The third proportional to 685,623 and 1,476,606 is: 3,180,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,623 : 1,476,606 = 1,476,606 : x
  2. Step 2: Convert to fraction form
    685,623/1,476,606 = 1,476,606/x
  3. Step 3: Cross multiply
    685,623x = 1,476,606 × 1,476,606
  4. Step 4: Simplify right side
    685,623x = 2,180,365,279,236
  5. Step 5: Solve for x
    x = 2,180,365,279,236/685,623
  6. Step 6: Final answer
    x = 3,180,122.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.