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Finding the Third Proportional to 965,284 and 1,269,366

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Solution

The third proportional to 965,284 and 1,269,366 is: 1,669,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,284 : 1,269,366 = 1,269,366 : x
  2. Step 2: Convert to fraction form
    965,284/1,269,366 = 1,269,366/x
  3. Step 3: Cross multiply
    965,284x = 1,269,366 × 1,269,366
  4. Step 4: Simplify right side
    965,284x = 1,611,290,041,956
  5. Step 5: Solve for x
    x = 1,611,290,041,956/965,284
  6. Step 6: Final answer
    x = 1,669,239.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.