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Finding the Third Proportional to 371,162 and 794,818

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Solution

The third proportional to 371,162 and 794,818 is: 1,702,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,162 : 794,818 = 794,818 : x
  2. Step 2: Convert to fraction form
    371,162/794,818 = 794,818/x
  3. Step 3: Cross multiply
    371,162x = 794,818 × 794,818
  4. Step 4: Simplify right side
    371,162x = 631,735,653,124
  5. Step 5: Solve for x
    x = 631,735,653,124/371,162
  6. Step 6: Final answer
    x = 1,702,048.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.