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Finding the Third Proportional to 621,984 and 1,405,344

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Solution

The third proportional to 621,984 and 1,405,344 is: 3,175,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,984 : 1,405,344 = 1,405,344 : x
  2. Step 2: Convert to fraction form
    621,984/1,405,344 = 1,405,344/x
  3. Step 3: Cross multiply
    621,984x = 1,405,344 × 1,405,344
  4. Step 4: Simplify right side
    621,984x = 1,974,991,758,336
  5. Step 5: Solve for x
    x = 1,974,991,758,336/621,984
  6. Step 6: Final answer
    x = 3,175,309.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.