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Finding the Third Proportional to 897,198 and 1,961,580

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Solution

The third proportional to 897,198 and 1,961,580 is: 4,288,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,198 : 1,961,580 = 1,961,580 : x
  2. Step 2: Convert to fraction form
    897,198/1,961,580 = 1,961,580/x
  3. Step 3: Cross multiply
    897,198x = 1,961,580 × 1,961,580
  4. Step 4: Simplify right side
    897,198x = 3,847,796,096,400
  5. Step 5: Solve for x
    x = 3,847,796,096,400/897,198
  6. Step 6: Final answer
    x = 4,288,681.09

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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.