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Finding the Third Proportional to 811,832.63 and 1,761,970.22

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Solution

The third proportional to 811,832.63 and 1,761,970.22 is: 3,824,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,832.63 : 1,761,970.22 = 1,761,970.22 : x
  2. Step 2: Convert to fraction form
    811,832.63/1,761,970.22 = 1,761,970.22/x
  3. Step 3: Cross multiply
    811,832.63x = 1,761,970.22 × 1,761,970.22
  4. Step 4: Simplify right side
    811,832.63x = 3,104,539,051,761.92
  5. Step 5: Solve for x
    x = 3,104,539,051,761.92/811,832.63
  6. Step 6: Final answer
    x = 3,824,112.21

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Why These Related Problems?

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