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Finding the Third Proportional to 702,338 and 1,511,200

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Solution

The third proportional to 702,338 and 1,511,200 is: 3,251,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,338 : 1,511,200 = 1,511,200 : x
  2. Step 2: Convert to fraction form
    702,338/1,511,200 = 1,511,200/x
  3. Step 3: Cross multiply
    702,338x = 1,511,200 × 1,511,200
  4. Step 4: Simplify right side
    702,338x = 2,283,725,440,000
  5. Step 5: Solve for x
    x = 2,283,725,440,000/702,338
  6. Step 6: Final answer
    x = 3,251,604.56

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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.