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Finding the Third Proportional to 859,770 and 2,022,309

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Solution

The third proportional to 859,770 and 2,022,309 is: 4,756,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,770 : 2,022,309 = 2,022,309 : x
  2. Step 2: Convert to fraction form
    859,770/2,022,309 = 2,022,309/x
  3. Step 3: Cross multiply
    859,770x = 2,022,309 × 2,022,309
  4. Step 4: Simplify right side
    859,770x = 4,089,733,691,481
  5. Step 5: Solve for x
    x = 4,089,733,691,481/859,770
  6. Step 6: Final answer
    x = 4,756,776.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.