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Finding the Third Proportional to 613,454.63 and 936,789.38

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Solution

The third proportional to 613,454.63 and 936,789.38 is: 1,430,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,454.63 : 936,789.38 = 936,789.38 : x
  2. Step 2: Convert to fraction form
    613,454.63/936,789.38 = 936,789.38/x
  3. Step 3: Cross multiply
    613,454.63x = 936,789.38 × 936,789.38
  4. Step 4: Simplify right side
    613,454.63x = 877,574,333,112.89
  5. Step 5: Solve for x
    x = 877,574,333,112.89/613,454.63
  6. Step 6: Final answer
    x = 1,430,544.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.