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Finding the Third Proportional to 654,258 and 1,332,573

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Solution

The third proportional to 654,258 and 1,332,573 is: 2,714,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,258 : 1,332,573 = 1,332,573 : x
  2. Step 2: Convert to fraction form
    654,258/1,332,573 = 1,332,573/x
  3. Step 3: Cross multiply
    654,258x = 1,332,573 × 1,332,573
  4. Step 4: Simplify right side
    654,258x = 1,775,750,800,329
  5. Step 5: Solve for x
    x = 1,775,750,800,329/654,258
  6. Step 6: Final answer
    x = 2,714,144.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.