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Finding the Third Proportional to 897,910 and 1,346,824

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Solution

The third proportional to 897,910 and 1,346,824 is: 2,020,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,910 : 1,346,824 = 1,346,824 : x
  2. Step 2: Convert to fraction form
    897,910/1,346,824 = 1,346,824/x
  3. Step 3: Cross multiply
    897,910x = 1,346,824 × 1,346,824
  4. Step 4: Simplify right side
    897,910x = 1,813,934,886,976
  5. Step 5: Solve for x
    x = 1,813,934,886,976/897,910
  6. Step 6: Final answer
    x = 2,020,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.