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Finding the Third Proportional to 533,648 and 1,179,312

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Solution

The third proportional to 533,648 and 1,179,312 is: 2,606,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,648 : 1,179,312 = 1,179,312 : x
  2. Step 2: Convert to fraction form
    533,648/1,179,312 = 1,179,312/x
  3. Step 3: Cross multiply
    533,648x = 1,179,312 × 1,179,312
  4. Step 4: Simplify right side
    533,648x = 1,390,776,793,344
  5. Step 5: Solve for x
    x = 1,390,776,793,344/533,648
  6. Step 6: Final answer
    x = 2,606,168.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.