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Finding the Third Proportional to 635,141 and 987,704

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Solution

The third proportional to 635,141 and 987,704 is: 1,535,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,141 : 987,704 = 987,704 : x
  2. Step 2: Convert to fraction form
    635,141/987,704 = 987,704/x
  3. Step 3: Cross multiply
    635,141x = 987,704 × 987,704
  4. Step 4: Simplify right side
    635,141x = 975,559,191,616
  5. Step 5: Solve for x
    x = 975,559,191,616/635,141
  6. Step 6: Final answer
    x = 1,535,972.63

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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.