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Finding the Third Proportional to 701,538 and 1,511,258

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Solution

The third proportional to 701,538 and 1,511,258 is: 3,255,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,538 : 1,511,258 = 1,511,258 : x
  2. Step 2: Convert to fraction form
    701,538/1,511,258 = 1,511,258/x
  3. Step 3: Cross multiply
    701,538x = 1,511,258 × 1,511,258
  4. Step 4: Simplify right side
    701,538x = 2,283,900,742,564
  5. Step 5: Solve for x
    x = 2,283,900,742,564/701,538
  6. Step 6: Final answer
    x = 3,255,562.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.