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Finding the Third Proportional to 633,258 and 1,344,240

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Solution

The third proportional to 633,258 and 1,344,240 is: 2,853,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,258 : 1,344,240 = 1,344,240 : x
  2. Step 2: Convert to fraction form
    633,258/1,344,240 = 1,344,240/x
  3. Step 3: Cross multiply
    633,258x = 1,344,240 × 1,344,240
  4. Step 4: Simplify right side
    633,258x = 1,806,981,177,600
  5. Step 5: Solve for x
    x = 1,806,981,177,600/633,258
  6. Step 6: Final answer
    x = 2,853,467.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.