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Finding the Third Proportional to 635,134 and 983,005

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Solution

The third proportional to 635,134 and 983,005 is: 1,521,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,134 : 983,005 = 983,005 : x
  2. Step 2: Convert to fraction form
    635,134/983,005 = 983,005/x
  3. Step 3: Cross multiply
    635,134x = 983,005 × 983,005
  4. Step 4: Simplify right side
    635,134x = 966,298,830,025
  5. Step 5: Solve for x
    x = 966,298,830,025/635,134
  6. Step 6: Final answer
    x = 1,521,409.39

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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.