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Finding the Third Proportional to 631,984 and 1,352,912

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Solution

The third proportional to 631,984 and 1,352,912 is: 2,896,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,984 : 1,352,912 = 1,352,912 : x
  2. Step 2: Convert to fraction form
    631,984/1,352,912 = 1,352,912/x
  3. Step 3: Cross multiply
    631,984x = 1,352,912 × 1,352,912
  4. Step 4: Simplify right side
    631,984x = 1,830,370,879,744
  5. Step 5: Solve for x
    x = 1,830,370,879,744/631,984
  6. Step 6: Final answer
    x = 2,896,229.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.