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Finding the Third Proportional to 426,848 and 919,904

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Solution

The third proportional to 426,848 and 919,904 is: 1,982,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,848 : 919,904 = 919,904 : x
  2. Step 2: Convert to fraction form
    426,848/919,904 = 919,904/x
  3. Step 3: Cross multiply
    426,848x = 919,904 × 919,904
  4. Step 4: Simplify right side
    426,848x = 846,223,369,216
  5. Step 5: Solve for x
    x = 846,223,369,216/426,848
  6. Step 6: Final answer
    x = 1,982,493.46

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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.