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Finding the Third Proportional to 622,214 and 1,329,722

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Solution

The third proportional to 622,214 and 1,329,722 is: 2,841,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,214 : 1,329,722 = 1,329,722 : x
  2. Step 2: Convert to fraction form
    622,214/1,329,722 = 1,329,722/x
  3. Step 3: Cross multiply
    622,214x = 1,329,722 × 1,329,722
  4. Step 4: Simplify right side
    622,214x = 1,768,160,597,284
  5. Step 5: Solve for x
    x = 1,768,160,597,284/622,214
  6. Step 6: Final answer
    x = 2,841,724.23

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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.