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Finding the Third Proportional to 734,934 and 1,574,838

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Solution

The third proportional to 734,934 and 1,574,838 is: 3,374,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,934 : 1,574,838 = 1,574,838 : x
  2. Step 2: Convert to fraction form
    734,934/1,574,838 = 1,574,838/x
  3. Step 3: Cross multiply
    734,934x = 1,574,838 × 1,574,838
  4. Step 4: Simplify right side
    734,934x = 2,480,114,726,244
  5. Step 5: Solve for x
    x = 2,480,114,726,244/734,934
  6. Step 6: Final answer
    x = 3,374,608.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.