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Finding the Third Proportional to 1,198,533 and 2,574,942

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Solution

The third proportional to 1,198,533 and 2,574,942 is: 5,532,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,533 : 2,574,942 = 2,574,942 : x
  2. Step 2: Convert to fraction form
    1,198,533/2,574,942 = 2,574,942/x
  3. Step 3: Cross multiply
    1,198,533x = 2,574,942 × 2,574,942
  4. Step 4: Simplify right side
    1,198,533x = 6,630,326,303,364
  5. Step 5: Solve for x
    x = 6,630,326,303,364/1,198,533
  6. Step 6: Final answer
    x = 5,532,034.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.