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Finding the Third Proportional to 692,480 and 1,063,734

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Solution

The third proportional to 692,480 and 1,063,734 is: 1,634,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,480 : 1,063,734 = 1,063,734 : x
  2. Step 2: Convert to fraction form
    692,480/1,063,734 = 1,063,734/x
  3. Step 3: Cross multiply
    692,480x = 1,063,734 × 1,063,734
  4. Step 4: Simplify right side
    692,480x = 1,131,530,022,756
  5. Step 5: Solve for x
    x = 1,131,530,022,756/692,480
  6. Step 6: Final answer
    x = 1,634,025.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.