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Finding the Third Proportional to 635,132 and 983,002

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Solution

The third proportional to 635,132 and 983,002 is: 1,521,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,132 : 983,002 = 983,002 : x
  2. Step 2: Convert to fraction form
    635,132/983,002 = 983,002/x
  3. Step 3: Cross multiply
    635,132x = 983,002 × 983,002
  4. Step 4: Simplify right side
    635,132x = 966,292,932,004
  5. Step 5: Solve for x
    x = 966,292,932,004/635,132
  6. Step 6: Final answer
    x = 1,521,404.89

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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.