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Finding the Third Proportional to 384,822 and 890,764.88

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Solution

The third proportional to 384,822 and 890,764.88 is: 2,061,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,822 : 890,764.88 = 890,764.88 : x
  2. Step 2: Convert to fraction form
    384,822/890,764.88 = 890,764.88/x
  3. Step 3: Cross multiply
    384,822x = 890,764.88 × 890,764.88
  4. Step 4: Simplify right side
    384,822x = 793,462,062,533.77
  5. Step 5: Solve for x
    x = 793,462,062,533.77/384,822
  6. Step 6: Final answer
    x = 2,061,893.71

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.