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Finding the Third Proportional to 824,581 and 1,790,163

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Solution

The third proportional to 824,581 and 1,790,163 is: 3,886,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,581 : 1,790,163 = 1,790,163 : x
  2. Step 2: Convert to fraction form
    824,581/1,790,163 = 1,790,163/x
  3. Step 3: Cross multiply
    824,581x = 1,790,163 × 1,790,163
  4. Step 4: Simplify right side
    824,581x = 3,204,683,566,569
  5. Step 5: Solve for x
    x = 3,204,683,566,569/824,581
  6. Step 6: Final answer
    x = 3,886,438.77

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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.