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Finding the Third Proportional to 1,601,039.25 and 3,430,893.38

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Solution

The third proportional to 1,601,039.25 and 3,430,893.38 is: 7,352,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,039.25 : 3,430,893.38 = 3,430,893.38 : x
  2. Step 2: Convert to fraction form
    1,601,039.25/3,430,893.38 = 3,430,893.38/x
  3. Step 3: Cross multiply
    1,601,039.25x = 3,430,893.38 × 3,430,893.38
  4. Step 4: Simplify right side
    1,601,039.25x = 11,771,029,350,618.89
  5. Step 5: Solve for x
    x = 11,771,029,350,618.89/1,601,039.25
  6. Step 6: Final answer
    x = 7,352,117.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.