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Finding the Third Proportional to 825,621 and 1,162,656

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Solution

The third proportional to 825,621 and 1,162,656 is: 1,637,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,621 : 1,162,656 = 1,162,656 : x
  2. Step 2: Convert to fraction form
    825,621/1,162,656 = 1,162,656/x
  3. Step 3: Cross multiply
    825,621x = 1,162,656 × 1,162,656
  4. Step 4: Simplify right side
    825,621x = 1,351,768,974,336
  5. Step 5: Solve for x
    x = 1,351,768,974,336/825,621
  6. Step 6: Final answer
    x = 1,637,275.43

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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.