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Finding the Third Proportional to 622,216 and 1,329,724

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Solution

The third proportional to 622,216 and 1,329,724 is: 2,841,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,216 : 1,329,724 = 1,329,724 : x
  2. Step 2: Convert to fraction form
    622,216/1,329,724 = 1,329,724/x
  3. Step 3: Cross multiply
    622,216x = 1,329,724 × 1,329,724
  4. Step 4: Simplify right side
    622,216x = 1,768,165,916,176
  5. Step 5: Solve for x
    x = 1,768,165,916,176/622,216
  6. Step 6: Final answer
    x = 2,841,723.64

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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.