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Finding the Third Proportional to 825,714.84 and 1,162,794.23

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Solution

The third proportional to 825,714.84 and 1,162,794.23 is: 1,637,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,714.84 : 1,162,794.23 = 1,162,794.23 : x
  2. Step 2: Convert to fraction form
    825,714.84/1,162,794.23 = 1,162,794.23/x
  3. Step 3: Cross multiply
    825,714.84x = 1,162,794.23 × 1,162,794.23
  4. Step 4: Simplify right side
    825,714.84x = 1,352,090,431,495.74
  5. Step 5: Solve for x
    x = 1,352,090,431,495.74/825,714.84
  6. Step 6: Final answer
    x = 1,637,478.65

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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.