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Finding the Third Proportional to 829,716 and 1,809,600

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Solution

The third proportional to 829,716 and 1,809,600 is: 3,946,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,716 : 1,809,600 = 1,809,600 : x
  2. Step 2: Convert to fraction form
    829,716/1,809,600 = 1,809,600/x
  3. Step 3: Cross multiply
    829,716x = 1,809,600 × 1,809,600
  4. Step 4: Simplify right side
    829,716x = 3,274,652,160,000
  5. Step 5: Solve for x
    x = 3,274,652,160,000/829,716
  6. Step 6: Final answer
    x = 3,946,714.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.