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Finding the Third Proportional to 505,629 and 1,083,222

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Solution

The third proportional to 505,629 and 1,083,222 is: 2,320,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,629 : 1,083,222 = 1,083,222 : x
  2. Step 2: Convert to fraction form
    505,629/1,083,222 = 1,083,222/x
  3. Step 3: Cross multiply
    505,629x = 1,083,222 × 1,083,222
  4. Step 4: Simplify right side
    505,629x = 1,173,369,901,284
  5. Step 5: Solve for x
    x = 1,173,369,901,284/505,629
  6. Step 6: Final answer
    x = 2,320,614.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.