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Finding the Third Proportional to 825,980 and 1,163,178

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Solution

The third proportional to 825,980 and 1,163,178 is: 1,638,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,980 : 1,163,178 = 1,163,178 : x
  2. Step 2: Convert to fraction form
    825,980/1,163,178 = 1,163,178/x
  3. Step 3: Cross multiply
    825,980x = 1,163,178 × 1,163,178
  4. Step 4: Simplify right side
    825,980x = 1,352,983,059,684
  5. Step 5: Solve for x
    x = 1,352,983,059,684/825,980
  6. Step 6: Final answer
    x = 1,638,033.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.