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Finding the Third Proportional to 370,806 and 794,100

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Solution

The third proportional to 370,806 and 794,100 is: 1,700,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,806 : 794,100 = 794,100 : x
  2. Step 2: Convert to fraction form
    370,806/794,100 = 794,100/x
  3. Step 3: Cross multiply
    370,806x = 794,100 × 794,100
  4. Step 4: Simplify right side
    370,806x = 630,594,810,000
  5. Step 5: Solve for x
    x = 630,594,810,000/370,806
  6. Step 6: Final answer
    x = 1,700,605.73

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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.