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Finding the Third Proportional to 533,430 and 1,158,442

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Solution

The third proportional to 533,430 and 1,158,442 is: 2,515,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,430 : 1,158,442 = 1,158,442 : x
  2. Step 2: Convert to fraction form
    533,430/1,158,442 = 1,158,442/x
  3. Step 3: Cross multiply
    533,430x = 1,158,442 × 1,158,442
  4. Step 4: Simplify right side
    533,430x = 1,341,987,867,364
  5. Step 5: Solve for x
    x = 1,341,987,867,364/533,430
  6. Step 6: Final answer
    x = 2,515,771.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.