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Finding the Third Proportional to 807,772 and 1,642,032

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Solution

The third proportional to 807,772 and 1,642,032 is: 3,337,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,772 : 1,642,032 = 1,642,032 : x
  2. Step 2: Convert to fraction form
    807,772/1,642,032 = 1,642,032/x
  3. Step 3: Cross multiply
    807,772x = 1,642,032 × 1,642,032
  4. Step 4: Simplify right side
    807,772x = 2,696,269,089,024
  5. Step 5: Solve for x
    x = 2,696,269,089,024/807,772
  6. Step 6: Final answer
    x = 3,337,908.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.