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Finding the Third Proportional to 618,609.94 and 1,293,780.94

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Solution

The third proportional to 618,609.94 and 1,293,780.94 is: 2,705,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,609.94 : 1,293,780.94 = 1,293,780.94 : x
  2. Step 2: Convert to fraction form
    618,609.94/1,293,780.94 = 1,293,780.94/x
  3. Step 3: Cross multiply
    618,609.94x = 1,293,780.94 × 1,293,780.94
  4. Step 4: Simplify right side
    618,609.94x = 1,673,869,114,238.38
  5. Step 5: Solve for x
    x = 1,673,869,114,238.38/618,609.94
  6. Step 6: Final answer
    x = 2,705,855.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.