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Finding the Third Proportional to 425,852 and 921,832

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Solution

The third proportional to 425,852 and 921,832 is: 1,995,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,852 : 921,832 = 921,832 : x
  2. Step 2: Convert to fraction form
    425,852/921,832 = 921,832/x
  3. Step 3: Cross multiply
    425,852x = 921,832 × 921,832
  4. Step 4: Simplify right side
    425,852x = 849,774,236,224
  5. Step 5: Solve for x
    x = 849,774,236,224/425,852
  6. Step 6: Final answer
    x = 1,995,468.46

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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.