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Finding the Third Proportional to 635,482 and 983,079

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Solution

The third proportional to 635,482 and 983,079 is: 1,520,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,482 : 983,079 = 983,079 : x
  2. Step 2: Convert to fraction form
    635,482/983,079 = 983,079/x
  3. Step 3: Cross multiply
    635,482x = 983,079 × 983,079
  4. Step 4: Simplify right side
    635,482x = 966,444,320,241
  5. Step 5: Solve for x
    x = 966,444,320,241/635,482
  6. Step 6: Final answer
    x = 1,520,805.18

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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.