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Finding the Third Proportional to 1,375,212.94 and 2,020,674.09

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Solution

The third proportional to 1,375,212.94 and 2,020,674.09 is: 2,969,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,212.94 : 2,020,674.09 = 2,020,674.09 : x
  2. Step 2: Convert to fraction form
    1,375,212.94/2,020,674.09 = 2,020,674.09/x
  3. Step 3: Cross multiply
    1,375,212.94x = 2,020,674.09 × 2,020,674.09
  4. Step 4: Simplify right side
    1,375,212.94x = 4,083,123,793,152.38
  5. Step 5: Solve for x
    x = 4,083,123,793,152.38/1,375,212.94
  6. Step 6: Final answer
    x = 2,969,084.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.