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Finding the Third Proportional to 744,999 and 1,658,619

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Solution

The third proportional to 744,999 and 1,658,619 is: 3,692,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,999 : 1,658,619 = 1,658,619 : x
  2. Step 2: Convert to fraction form
    744,999/1,658,619 = 1,658,619/x
  3. Step 3: Cross multiply
    744,999x = 1,658,619 × 1,658,619
  4. Step 4: Simplify right side
    744,999x = 2,751,016,987,161
  5. Step 5: Solve for x
    x = 2,751,016,987,161/744,999
  6. Step 6: Final answer
    x = 3,692,645.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.