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Finding the Third Proportional to 743,260 and 1,097,394

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Solution

The third proportional to 743,260 and 1,097,394 is: 1,620,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,260 : 1,097,394 = 1,097,394 : x
  2. Step 2: Convert to fraction form
    743,260/1,097,394 = 1,097,394/x
  3. Step 3: Cross multiply
    743,260x = 1,097,394 × 1,097,394
  4. Step 4: Simplify right side
    743,260x = 1,204,273,591,236
  5. Step 5: Solve for x
    x = 1,204,273,591,236/743,260
  6. Step 6: Final answer
    x = 1,620,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.