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Finding the Third Proportional to 897,923 and 1,995,138

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Solution

The third proportional to 897,923 and 1,995,138 is: 4,433,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,923 : 1,995,138 = 1,995,138 : x
  2. Step 2: Convert to fraction form
    897,923/1,995,138 = 1,995,138/x
  3. Step 3: Cross multiply
    897,923x = 1,995,138 × 1,995,138
  4. Step 4: Simplify right side
    897,923x = 3,980,575,639,044
  5. Step 5: Solve for x
    x = 3,980,575,639,044/897,923
  6. Step 6: Final answer
    x = 4,433,092.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.