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Finding the Third Proportional to 689,925 and 1,508,100

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Solution

The third proportional to 689,925 and 1,508,100 is: 3,296,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,925 : 1,508,100 = 1,508,100 : x
  2. Step 2: Convert to fraction form
    689,925/1,508,100 = 1,508,100/x
  3. Step 3: Cross multiply
    689,925x = 1,508,100 × 1,508,100
  4. Step 4: Simplify right side
    689,925x = 2,274,365,610,000
  5. Step 5: Solve for x
    x = 2,274,365,610,000/689,925
  6. Step 6: Final answer
    x = 3,296,540.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.