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Finding the Third Proportional to 897,840 and 1,920,204

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Solution

The third proportional to 897,840 and 1,920,204 is: 4,106,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,840 : 1,920,204 = 1,920,204 : x
  2. Step 2: Convert to fraction form
    897,840/1,920,204 = 1,920,204/x
  3. Step 3: Cross multiply
    897,840x = 1,920,204 × 1,920,204
  4. Step 4: Simplify right side
    897,840x = 3,687,183,401,616
  5. Step 5: Solve for x
    x = 3,687,183,401,616/897,840
  6. Step 6: Final answer
    x = 4,106,726.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.