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Finding the Third Proportional to 492,563 and 1,063,858

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Solution

The third proportional to 492,563 and 1,063,858 is: 2,297,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,563 : 1,063,858 = 1,063,858 : x
  2. Step 2: Convert to fraction form
    492,563/1,063,858 = 1,063,858/x
  3. Step 3: Cross multiply
    492,563x = 1,063,858 × 1,063,858
  4. Step 4: Simplify right side
    492,563x = 1,131,793,844,164
  5. Step 5: Solve for x
    x = 1,131,793,844,164/492,563
  6. Step 6: Final answer
    x = 2,297,764.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.