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Finding the Third Proportional to 1,148,235 and 2,471,958

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Solution

The third proportional to 1,148,235 and 2,471,958 is: 5,321,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,235 : 2,471,958 = 2,471,958 : x
  2. Step 2: Convert to fraction form
    1,148,235/2,471,958 = 2,471,958/x
  3. Step 3: Cross multiply
    1,148,235x = 2,471,958 × 2,471,958
  4. Step 4: Simplify right side
    1,148,235x = 6,110,576,353,764
  5. Step 5: Solve for x
    x = 6,110,576,353,764/1,148,235
  6. Step 6: Final answer
    x = 5,321,712.33

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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.