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Finding the Third Proportional to 694,913 and 1,036,296

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Solution

The third proportional to 694,913 and 1,036,296 is: 1,545,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,913 : 1,036,296 = 1,036,296 : x
  2. Step 2: Convert to fraction form
    694,913/1,036,296 = 1,036,296/x
  3. Step 3: Cross multiply
    694,913x = 1,036,296 × 1,036,296
  4. Step 4: Simplify right side
    694,913x = 1,073,909,399,616
  5. Step 5: Solve for x
    x = 1,073,909,399,616/694,913
  6. Step 6: Final answer
    x = 1,545,386.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.