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Finding the Third Proportional to 822,511.13 and 1,100,268

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Solution

The third proportional to 822,511.13 and 1,100,268 is: 1,471,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,511.13 : 1,100,268 = 1,100,268 : x
  2. Step 2: Convert to fraction form
    822,511.13/1,100,268 = 1,100,268/x
  3. Step 3: Cross multiply
    822,511.13x = 1,100,268 × 1,100,268
  4. Step 4: Simplify right side
    822,511.13x = 1,210,589,671,824
  5. Step 5: Solve for x
    x = 1,210,589,671,824/822,511.13
  6. Step 6: Final answer
    x = 1,471,821.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.