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Finding the Third Proportional to 698,469 and 1,524,878

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Solution

The third proportional to 698,469 and 1,524,878 is: 3,329,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,469 : 1,524,878 = 1,524,878 : x
  2. Step 2: Convert to fraction form
    698,469/1,524,878 = 1,524,878/x
  3. Step 3: Cross multiply
    698,469x = 1,524,878 × 1,524,878
  4. Step 4: Simplify right side
    698,469x = 2,325,252,914,884
  5. Step 5: Solve for x
    x = 2,325,252,914,884/698,469
  6. Step 6: Final answer
    x = 3,329,071.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.