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Finding the Third Proportional to 737,668 and 1,113,276

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Solution

The third proportional to 737,668 and 1,113,276 is: 1,680,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,668 : 1,113,276 = 1,113,276 : x
  2. Step 2: Convert to fraction form
    737,668/1,113,276 = 1,113,276/x
  3. Step 3: Cross multiply
    737,668x = 1,113,276 × 1,113,276
  4. Step 4: Simplify right side
    737,668x = 1,239,383,452,176
  5. Step 5: Solve for x
    x = 1,239,383,452,176/737,668
  6. Step 6: Final answer
    x = 1,680,137.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.