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Finding the Third Proportional to 965,355 and 1,269,438

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Solution

The third proportional to 965,355 and 1,269,438 is: 1,669,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,355 : 1,269,438 = 1,269,438 : x
  2. Step 2: Convert to fraction form
    965,355/1,269,438 = 1,269,438/x
  3. Step 3: Cross multiply
    965,355x = 1,269,438 × 1,269,438
  4. Step 4: Simplify right side
    965,355x = 1,611,472,835,844
  5. Step 5: Solve for x
    x = 1,611,472,835,844/965,355
  6. Step 6: Final answer
    x = 1,669,305.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.