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Finding the Third Proportional to 1,166,096.25 and 1,798,959.38

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Solution

The third proportional to 1,166,096.25 and 1,798,959.38 is: 2,775,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,096.25 : 1,798,959.38 = 1,798,959.38 : x
  2. Step 2: Convert to fraction form
    1,166,096.25/1,798,959.38 = 1,798,959.38/x
  3. Step 3: Cross multiply
    1,166,096.25x = 1,798,959.38 × 1,798,959.38
  4. Step 4: Simplify right side
    1,166,096.25x = 3,236,254,832,900.39
  5. Step 5: Solve for x
    x = 3,236,254,832,900.39/1,166,096.25
  6. Step 6: Final answer
    x = 2,775,289.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.