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Finding the Third Proportional to 533,466 and 1,158,510

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Solution

The third proportional to 533,466 and 1,158,510 is: 2,515,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,466 : 1,158,510 = 1,158,510 : x
  2. Step 2: Convert to fraction form
    533,466/1,158,510 = 1,158,510/x
  3. Step 3: Cross multiply
    533,466x = 1,158,510 × 1,158,510
  4. Step 4: Simplify right side
    533,466x = 1,342,145,420,100
  5. Step 5: Solve for x
    x = 1,342,145,420,100/533,466
  6. Step 6: Final answer
    x = 2,515,896.83

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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.