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Finding the Third Proportional to 432,833.63 and 939,022.88

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Solution

The third proportional to 432,833.63 and 939,022.88 is: 2,037,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.63 : 939,022.88 = 939,022.88 : x
  2. Step 2: Convert to fraction form
    432,833.63/939,022.88 = 939,022.88/x
  3. Step 3: Cross multiply
    432,833.63x = 939,022.88 × 939,022.88
  4. Step 4: Simplify right side
    432,833.63x = 881,763,959,773.27
  5. Step 5: Solve for x
    x = 881,763,959,773.27/432,833.63
  6. Step 6: Final answer
    x = 2,037,189.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.