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Finding the Third Proportional to 698,158 and 1,503,176

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Solution

The third proportional to 698,158 and 1,503,176 is: 3,236,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,158 : 1,503,176 = 1,503,176 : x
  2. Step 2: Convert to fraction form
    698,158/1,503,176 = 1,503,176/x
  3. Step 3: Cross multiply
    698,158x = 1,503,176 × 1,503,176
  4. Step 4: Simplify right side
    698,158x = 2,259,538,086,976
  5. Step 5: Solve for x
    x = 2,259,538,086,976/698,158
  6. Step 6: Final answer
    x = 3,236,427.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.