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Finding the Third Proportional to 852,378 and 1,294,119

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Solution

The third proportional to 852,378 and 1,294,119 is: 1,964,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,378 : 1,294,119 = 1,294,119 : x
  2. Step 2: Convert to fraction form
    852,378/1,294,119 = 1,294,119/x
  3. Step 3: Cross multiply
    852,378x = 1,294,119 × 1,294,119
  4. Step 4: Simplify right side
    852,378x = 1,674,743,986,161
  5. Step 5: Solve for x
    x = 1,674,743,986,161/852,378
  6. Step 6: Final answer
    x = 1,964,790.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.