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Finding the Third Proportional to 987,175.50 and 1,492,913.25

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Solution

The third proportional to 987,175.50 and 1,492,913.25 is: 2,257,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,175.50 : 1,492,913.25 = 1,492,913.25 : x
  2. Step 2: Convert to fraction form
    987,175.50/1,492,913.25 = 1,492,913.25/x
  3. Step 3: Cross multiply
    987,175.50x = 1,492,913.25 × 1,492,913.25
  4. Step 4: Simplify right side
    987,175.50x = 2,228,789,972,025.56
  5. Step 5: Solve for x
    x = 2,228,789,972,025.56/987,175.50
  6. Step 6: Final answer
    x = 2,257,744.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.