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Finding the Third Proportional to 533,370 and 1,166,368

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Solution

The third proportional to 533,370 and 1,166,368 is: 2,550,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,370 : 1,166,368 = 1,166,368 : x
  2. Step 2: Convert to fraction form
    533,370/1,166,368 = 1,166,368/x
  3. Step 3: Cross multiply
    533,370x = 1,166,368 × 1,166,368
  4. Step 4: Simplify right side
    533,370x = 1,360,414,311,424
  5. Step 5: Solve for x
    x = 1,360,414,311,424/533,370
  6. Step 6: Final answer
    x = 2,550,601.48

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Why These Related Problems?

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