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Finding the Third Proportional to 635,424 and 987,984

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Solution

The third proportional to 635,424 and 987,984 is: 1,536,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,424 : 987,984 = 987,984 : x
  2. Step 2: Convert to fraction form
    635,424/987,984 = 987,984/x
  3. Step 3: Cross multiply
    635,424x = 987,984 × 987,984
  4. Step 4: Simplify right side
    635,424x = 976,112,384,256
  5. Step 5: Solve for x
    x = 976,112,384,256/635,424
  6. Step 6: Final answer
    x = 1,536,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.