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Finding the Third Proportional to 431,094 and 927,030

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Solution

The third proportional to 431,094 and 927,030 is: 1,993,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,094 : 927,030 = 927,030 : x
  2. Step 2: Convert to fraction form
    431,094/927,030 = 927,030/x
  3. Step 3: Cross multiply
    431,094x = 927,030 × 927,030
  4. Step 4: Simplify right side
    431,094x = 859,384,620,900
  5. Step 5: Solve for x
    x = 859,384,620,900/431,094
  6. Step 6: Final answer
    x = 1,993,497.06

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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.