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Finding the Third Proportional to 929,129 and 1,969,903

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Solution

The third proportional to 929,129 and 1,969,903 is: 4,176,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,129 : 1,969,903 = 1,969,903 : x
  2. Step 2: Convert to fraction form
    929,129/1,969,903 = 1,969,903/x
  3. Step 3: Cross multiply
    929,129x = 1,969,903 × 1,969,903
  4. Step 4: Simplify right side
    929,129x = 3,880,517,829,409
  5. Step 5: Solve for x
    x = 3,880,517,829,409/929,129
  6. Step 6: Final answer
    x = 4,176,511.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.