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Finding the Third Proportional to 492,715.13 and 1,059,080.63

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Solution

The third proportional to 492,715.13 and 1,059,080.63 is: 2,276,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,715.13 : 1,059,080.63 = 1,059,080.63 : x
  2. Step 2: Convert to fraction form
    492,715.13/1,059,080.63 = 1,059,080.63/x
  3. Step 3: Cross multiply
    492,715.13x = 1,059,080.63 × 1,059,080.63
  4. Step 4: Simplify right side
    492,715.13x = 1,121,651,770,250.39
  5. Step 5: Solve for x
    x = 1,121,651,770,250.39/492,715.13
  6. Step 6: Final answer
    x = 2,276,471.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.