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Finding the Third Proportional to 829,738 and 1,281,456

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Solution

The third proportional to 829,738 and 1,281,456 is: 1,979,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,738 : 1,281,456 = 1,281,456 : x
  2. Step 2: Convert to fraction form
    829,738/1,281,456 = 1,281,456/x
  3. Step 3: Cross multiply
    829,738x = 1,281,456 × 1,281,456
  4. Step 4: Simplify right side
    829,738x = 1,642,129,479,936
  5. Step 5: Solve for x
    x = 1,642,129,479,936/829,738
  6. Step 6: Final answer
    x = 1,979,093.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.