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Finding the Third Proportional to 874,123.50 and 1,350,004.50

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Solution

The third proportional to 874,123.50 and 1,350,004.50 is: 2,084,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,123.50 : 1,350,004.50 = 1,350,004.50 : x
  2. Step 2: Convert to fraction form
    874,123.50/1,350,004.50 = 1,350,004.50/x
  3. Step 3: Cross multiply
    874,123.50x = 1,350,004.50 × 1,350,004.50
  4. Step 4: Simplify right side
    874,123.50x = 1,822,512,150,020.25
  5. Step 5: Solve for x
    x = 1,822,512,150,020.25/874,123.50
  6. Step 6: Final answer
    x = 2,084,959.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.