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Finding the Third Proportional to 635,969 and 1,371,645

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Solution

The third proportional to 635,969 and 1,371,645 is: 2,958,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,969 : 1,371,645 = 1,371,645 : x
  2. Step 2: Convert to fraction form
    635,969/1,371,645 = 1,371,645/x
  3. Step 3: Cross multiply
    635,969x = 1,371,645 × 1,371,645
  4. Step 4: Simplify right side
    635,969x = 1,881,410,006,025
  5. Step 5: Solve for x
    x = 1,881,410,006,025/635,969
  6. Step 6: Final answer
    x = 2,958,336.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.