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Finding the Third Proportional to 825,718 and 1,162,796

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Solution

The third proportional to 825,718 and 1,162,796 is: 1,637,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,718 : 1,162,796 = 1,162,796 : x
  2. Step 2: Convert to fraction form
    825,718/1,162,796 = 1,162,796/x
  3. Step 3: Cross multiply
    825,718x = 1,162,796 × 1,162,796
  4. Step 4: Simplify right side
    825,718x = 1,352,094,537,616
  5. Step 5: Solve for x
    x = 1,352,094,537,616/825,718
  6. Step 6: Final answer
    x = 1,637,477.37

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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.