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Finding the Third Proportional to 621,204 and 1,343,964

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Solution

The third proportional to 621,204 and 1,343,964 is: 2,907,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,204 : 1,343,964 = 1,343,964 : x
  2. Step 2: Convert to fraction form
    621,204/1,343,964 = 1,343,964/x
  3. Step 3: Cross multiply
    621,204x = 1,343,964 × 1,343,964
  4. Step 4: Simplify right side
    621,204x = 1,806,239,233,296
  5. Step 5: Solve for x
    x = 1,806,239,233,296/621,204
  6. Step 6: Final answer
    x = 2,907,642.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.