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Finding the Third Proportional to 965,346 and 1,269,429

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Solution

The third proportional to 965,346 and 1,269,429 is: 1,669,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,346 : 1,269,429 = 1,269,429 : x
  2. Step 2: Convert to fraction form
    965,346/1,269,429 = 1,269,429/x
  3. Step 3: Cross multiply
    965,346x = 1,269,429 × 1,269,429
  4. Step 4: Simplify right side
    965,346x = 1,611,449,986,041
  5. Step 5: Solve for x
    x = 1,611,449,986,041/965,346
  6. Step 6: Final answer
    x = 1,669,297.83

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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.