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Finding the Third Proportional to 590,586.75 and 1,295,574.75

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Solution

The third proportional to 590,586.75 and 1,295,574.75 is: 2,842,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,586.75 : 1,295,574.75 = 1,295,574.75 : x
  2. Step 2: Convert to fraction form
    590,586.75/1,295,574.75 = 1,295,574.75/x
  3. Step 3: Cross multiply
    590,586.75x = 1,295,574.75 × 1,295,574.75
  4. Step 4: Simplify right side
    590,586.75x = 1,678,513,932,837.56
  5. Step 5: Solve for x
    x = 1,678,513,932,837.56/590,586.75
  6. Step 6: Final answer
    x = 2,842,112.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.