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Finding the Third Proportional to 635,135 and 987,695

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Solution

The third proportional to 635,135 and 987,695 is: 1,535,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,135 : 987,695 = 987,695 : x
  2. Step 2: Convert to fraction form
    635,135/987,695 = 987,695/x
  3. Step 3: Cross multiply
    635,135x = 987,695 × 987,695
  4. Step 4: Simplify right side
    635,135x = 975,541,413,025
  5. Step 5: Solve for x
    x = 975,541,413,025/635,135
  6. Step 6: Final answer
    x = 1,535,959.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.