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Finding the Third Proportional to 811,657.13 and 1,285,169.63

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Solution

The third proportional to 811,657.13 and 1,285,169.63 is: 2,034,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,657.13 : 1,285,169.63 = 1,285,169.63 : x
  2. Step 2: Convert to fraction form
    811,657.13/1,285,169.63 = 1,285,169.63/x
  3. Step 3: Cross multiply
    811,657.13x = 1,285,169.63 × 1,285,169.63
  4. Step 4: Simplify right side
    811,657.13x = 1,651,660,965,022.64
  5. Step 5: Solve for x
    x = 1,651,660,965,022.64/811,657.13
  6. Step 6: Final answer
    x = 2,034,924.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.