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Finding the Third Proportional to 788,296 and 1,787,032

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Solution

The third proportional to 788,296 and 1,787,032 is: 4,051,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,296 : 1,787,032 = 1,787,032 : x
  2. Step 2: Convert to fraction form
    788,296/1,787,032 = 1,787,032/x
  3. Step 3: Cross multiply
    788,296x = 1,787,032 × 1,787,032
  4. Step 4: Simplify right side
    788,296x = 3,193,483,369,024
  5. Step 5: Solve for x
    x = 3,193,483,369,024/788,296
  6. Step 6: Final answer
    x = 4,051,122.13

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.