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Finding the Third Proportional to 425,848 and 921,824

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Solution

The third proportional to 425,848 and 921,824 is: 1,995,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,848 : 921,824 = 921,824 : x
  2. Step 2: Convert to fraction form
    425,848/921,824 = 921,824/x
  3. Step 3: Cross multiply
    425,848x = 921,824 × 921,824
  4. Step 4: Simplify right side
    425,848x = 849,759,486,976
  5. Step 5: Solve for x
    x = 849,759,486,976/425,848
  6. Step 6: Final answer
    x = 1,995,452.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.