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Finding the Third Proportional to 460,200 and 984,368

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Solution

The third proportional to 460,200 and 984,368 is: 2,105,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,200 : 984,368 = 984,368 : x
  2. Step 2: Convert to fraction form
    460,200/984,368 = 984,368/x
  3. Step 3: Cross multiply
    460,200x = 984,368 × 984,368
  4. Step 4: Simplify right side
    460,200x = 968,980,359,424
  5. Step 5: Solve for x
    x = 968,980,359,424/460,200
  6. Step 6: Final answer
    x = 2,105,563.58

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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.