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Finding the Third Proportional to 697,406 and 1,512,148

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Solution

The third proportional to 697,406 and 1,512,148 is: 3,278,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,406 : 1,512,148 = 1,512,148 : x
  2. Step 2: Convert to fraction form
    697,406/1,512,148 = 1,512,148/x
  3. Step 3: Cross multiply
    697,406x = 1,512,148 × 1,512,148
  4. Step 4: Simplify right side
    697,406x = 2,286,591,573,904
  5. Step 5: Solve for x
    x = 2,286,591,573,904/697,406
  6. Step 6: Final answer
    x = 3,278,709.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.