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Finding the Third Proportional to 612,889.66 and 1,424,241.04

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Solution

The third proportional to 612,889.66 and 1,424,241.04 is: 3,309,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,889.66 : 1,424,241.04 = 1,424,241.04 : x
  2. Step 2: Convert to fraction form
    612,889.66/1,424,241.04 = 1,424,241.04/x
  3. Step 3: Cross multiply
    612,889.66x = 1,424,241.04 × 1,424,241.04
  4. Step 4: Simplify right side
    612,889.66x = 2,028,462,526,222.80
  5. Step 5: Solve for x
    x = 2,028,462,526,222.80/612,889.66
  6. Step 6: Final answer
    x = 3,309,669.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.