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Finding the Third Proportional to 698,915 and 1,512,081

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Solution

The third proportional to 698,915 and 1,512,081 is: 3,271,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,915 : 1,512,081 = 1,512,081 : x
  2. Step 2: Convert to fraction form
    698,915/1,512,081 = 1,512,081/x
  3. Step 3: Cross multiply
    698,915x = 1,512,081 × 1,512,081
  4. Step 4: Simplify right side
    698,915x = 2,286,388,950,561
  5. Step 5: Solve for x
    x = 2,286,388,950,561/698,915
  6. Step 6: Final answer
    x = 3,271,340.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.