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Finding the Third Proportional to 825,982 and 1,163,181

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Solution

The third proportional to 825,982 and 1,163,181 is: 1,638,038.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,982 : 1,163,181 = 1,163,181 : x
  2. Step 2: Convert to fraction form
    825,982/1,163,181 = 1,163,181/x
  3. Step 3: Cross multiply
    825,982x = 1,163,181 × 1,163,181
  4. Step 4: Simplify right side
    825,982x = 1,352,990,038,761
  5. Step 5: Solve for x
    x = 1,352,990,038,761/825,982
  6. Step 6: Final answer
    x = 1,638,038.16

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Why These Related Problems?

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