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Finding the Third Proportional to 533,398 and 1,166,379

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Solution

The third proportional to 533,398 and 1,166,379 is: 2,550,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,398 : 1,166,379 = 1,166,379 : x
  2. Step 2: Convert to fraction form
    533,398/1,166,379 = 1,166,379/x
  3. Step 3: Cross multiply
    533,398x = 1,166,379 × 1,166,379
  4. Step 4: Simplify right side
    533,398x = 1,360,439,971,641
  5. Step 5: Solve for x
    x = 1,360,439,971,641/533,398
  6. Step 6: Final answer
    x = 2,550,515.70

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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.