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Finding the Third Proportional to 635,496 and 983,098

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Solution

The third proportional to 635,496 and 983,098 is: 1,520,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,496 : 983,098 = 983,098 : x
  2. Step 2: Convert to fraction form
    635,496/983,098 = 983,098/x
  3. Step 3: Cross multiply
    635,496x = 983,098 × 983,098
  4. Step 4: Simplify right side
    635,496x = 966,481,677,604
  5. Step 5: Solve for x
    x = 966,481,677,604/635,496
  6. Step 6: Final answer
    x = 1,520,830.47

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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.