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Finding the Third Proportional to 1,605,177.50 and 3,343,215

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Solution

The third proportional to 1,605,177.50 and 3,343,215 is: 6,963,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,177.50 : 3,343,215 = 3,343,215 : x
  2. Step 2: Convert to fraction form
    1,605,177.50/3,343,215 = 3,343,215/x
  3. Step 3: Cross multiply
    1,605,177.50x = 3,343,215 × 3,343,215
  4. Step 4: Simplify right side
    1,605,177.50x = 11,177,086,536,225
  5. Step 5: Solve for x
    x = 11,177,086,536,225/1,605,177.50
  6. Step 6: Final answer
    x = 6,963,146.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.