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Finding the Third Proportional to 701,686 and 1,476,724

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Solution

The third proportional to 701,686 and 1,476,724 is: 3,107,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,686 : 1,476,724 = 1,476,724 : x
  2. Step 2: Convert to fraction form
    701,686/1,476,724 = 1,476,724/x
  3. Step 3: Cross multiply
    701,686x = 1,476,724 × 1,476,724
  4. Step 4: Simplify right side
    701,686x = 2,180,713,772,176
  5. Step 5: Solve for x
    x = 2,180,713,772,176/701,686
  6. Step 6: Final answer
    x = 3,107,819.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.