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Finding the Third Proportional to 965,381 and 1,311,097

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Solution

The third proportional to 965,381 and 1,311,097 is: 1,780,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,381 : 1,311,097 = 1,311,097 : x
  2. Step 2: Convert to fraction form
    965,381/1,311,097 = 1,311,097/x
  3. Step 3: Cross multiply
    965,381x = 1,311,097 × 1,311,097
  4. Step 4: Simplify right side
    965,381x = 1,718,975,343,409
  5. Step 5: Solve for x
    x = 1,718,975,343,409/965,381
  6. Step 6: Final answer
    x = 1,780,618.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.