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Finding the Third Proportional to 829,606 and 1,772,936

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Solution

The third proportional to 829,606 and 1,772,936 is: 3,788,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,606 : 1,772,936 = 1,772,936 : x
  2. Step 2: Convert to fraction form
    829,606/1,772,936 = 1,772,936/x
  3. Step 3: Cross multiply
    829,606x = 1,772,936 × 1,772,936
  4. Step 4: Simplify right side
    829,606x = 3,143,302,060,096
  5. Step 5: Solve for x
    x = 3,143,302,060,096/829,606
  6. Step 6: Final answer
    x = 3,788,909.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.