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Finding the Third Proportional to 862,148 and 1,873,524

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Solution

The third proportional to 862,148 and 1,873,524 is: 4,071,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,148 : 1,873,524 = 1,873,524 : x
  2. Step 2: Convert to fraction form
    862,148/1,873,524 = 1,873,524/x
  3. Step 3: Cross multiply
    862,148x = 1,873,524 × 1,873,524
  4. Step 4: Simplify right side
    862,148x = 3,510,092,178,576
  5. Step 5: Solve for x
    x = 3,510,092,178,576/862,148
  6. Step 6: Final answer
    x = 4,071,333.67

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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.