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Finding the Third Proportional to 826,991 and 1,780,700

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Solution

The third proportional to 826,991 and 1,780,700 is: 3,834,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,991 : 1,780,700 = 1,780,700 : x
  2. Step 2: Convert to fraction form
    826,991/1,780,700 = 1,780,700/x
  3. Step 3: Cross multiply
    826,991x = 1,780,700 × 1,780,700
  4. Step 4: Simplify right side
    826,991x = 3,170,892,490,000
  5. Step 5: Solve for x
    x = 3,170,892,490,000/826,991
  6. Step 6: Final answer
    x = 3,834,252.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.