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Finding the Third Proportional to 807,220 and 1,712,834

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Solution

The third proportional to 807,220 and 1,712,834 is: 3,634,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,220 : 1,712,834 = 1,712,834 : x
  2. Step 2: Convert to fraction form
    807,220/1,712,834 = 1,712,834/x
  3. Step 3: Cross multiply
    807,220x = 1,712,834 × 1,712,834
  4. Step 4: Simplify right side
    807,220x = 2,933,800,311,556
  5. Step 5: Solve for x
    x = 2,933,800,311,556/807,220
  6. Step 6: Final answer
    x = 3,634,449.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.