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Finding the Third Proportional to 698,898 and 1,512,046.50

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Solution

The third proportional to 698,898 and 1,512,046.50 is: 3,271,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,898 : 1,512,046.50 = 1,512,046.50 : x
  2. Step 2: Convert to fraction form
    698,898/1,512,046.50 = 1,512,046.50/x
  3. Step 3: Cross multiply
    698,898x = 1,512,046.50 × 1,512,046.50
  4. Step 4: Simplify right side
    698,898x = 2,286,284,618,162.25
  5. Step 5: Solve for x
    x = 2,286,284,618,162.25/698,898
  6. Step 6: Final answer
    x = 3,271,270.80

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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.