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Finding the Third Proportional to 413,684.72 and 890,701.31

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Solution

The third proportional to 413,684.72 and 890,701.31 is: 1,917,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684.72 : 890,701.31 = 890,701.31 : x
  2. Step 2: Convert to fraction form
    413,684.72/890,701.31 = 890,701.31/x
  3. Step 3: Cross multiply
    413,684.72x = 890,701.31 × 890,701.31
  4. Step 4: Simplify right side
    413,684.72x = 793,348,828,089.22
  5. Step 5: Solve for x
    x = 793,348,828,089.22/413,684.72
  6. Step 6: Final answer
    x = 1,917,761.99

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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.