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Finding the Third Proportional to 635,138 and 983,011

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Solution

The third proportional to 635,138 and 983,011 is: 1,521,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,138 : 983,011 = 983,011 : x
  2. Step 2: Convert to fraction form
    635,138/983,011 = 983,011/x
  3. Step 3: Cross multiply
    635,138x = 983,011 × 983,011
  4. Step 4: Simplify right side
    635,138x = 966,310,626,121
  5. Step 5: Solve for x
    x = 966,310,626,121/635,138
  6. Step 6: Final answer
    x = 1,521,418.38

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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.