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Finding the Third Proportional to 612,732.94 and 1,346,412.38

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Solution

The third proportional to 612,732.94 and 1,346,412.38 is: 2,958,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,732.94 : 1,346,412.38 = 1,346,412.38 : x
  2. Step 2: Convert to fraction form
    612,732.94/1,346,412.38 = 1,346,412.38/x
  3. Step 3: Cross multiply
    612,732.94x = 1,346,412.38 × 1,346,412.38
  4. Step 4: Simplify right side
    612,732.94x = 1,812,826,283,553.14
  5. Step 5: Solve for x
    x = 1,812,826,283,553.14/612,732.94
  6. Step 6: Final answer
    x = 2,958,591.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.