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Finding the Third Proportional to 1,605,177 and 3,343,213

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Solution

The third proportional to 1,605,177 and 3,343,213 is: 6,963,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,177 : 3,343,213 = 3,343,213 : x
  2. Step 2: Convert to fraction form
    1,605,177/3,343,213 = 3,343,213/x
  3. Step 3: Cross multiply
    1,605,177x = 3,343,213 × 3,343,213
  4. Step 4: Simplify right side
    1,605,177x = 11,177,073,163,369
  5. Step 5: Solve for x
    x = 11,177,073,163,369/1,605,177
  6. Step 6: Final answer
    x = 6,963,140.62

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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.