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Finding the Third Proportional to 722,638 and 1,573,958

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Solution

The third proportional to 722,638 and 1,573,958 is: 3,428,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,638 : 1,573,958 = 1,573,958 : x
  2. Step 2: Convert to fraction form
    722,638/1,573,958 = 1,573,958/x
  3. Step 3: Cross multiply
    722,638x = 1,573,958 × 1,573,958
  4. Step 4: Simplify right side
    722,638x = 2,477,343,785,764
  5. Step 5: Solve for x
    x = 2,477,343,785,764/722,638
  6. Step 6: Final answer
    x = 3,428,194.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.