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Finding the Third Proportional to 460,378 and 984,704

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Solution

The third proportional to 460,378 and 984,704 is: 2,106,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,378 : 984,704 = 984,704 : x
  2. Step 2: Convert to fraction form
    460,378/984,704 = 984,704/x
  3. Step 3: Cross multiply
    460,378x = 984,704 × 984,704
  4. Step 4: Simplify right side
    460,378x = 969,641,967,616
  5. Step 5: Solve for x
    x = 969,641,967,616/460,378
  6. Step 6: Final answer
    x = 2,106,186.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.