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Finding the Third Proportional to 737,534 and 1,135,258

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Solution

The third proportional to 737,534 and 1,135,258 is: 1,747,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,534 : 1,135,258 = 1,135,258 : x
  2. Step 2: Convert to fraction form
    737,534/1,135,258 = 1,135,258/x
  3. Step 3: Cross multiply
    737,534x = 1,135,258 × 1,135,258
  4. Step 4: Simplify right side
    737,534x = 1,288,810,726,564
  5. Step 5: Solve for x
    x = 1,288,810,726,564/737,534
  6. Step 6: Final answer
    x = 1,747,459.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.