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Finding the Third Proportional to 626,886 and 946,161

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Solution

The third proportional to 626,886 and 946,161 is: 1,428,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,886 : 946,161 = 946,161 : x
  2. Step 2: Convert to fraction form
    626,886/946,161 = 946,161/x
  3. Step 3: Cross multiply
    626,886x = 946,161 × 946,161
  4. Step 4: Simplify right side
    626,886x = 895,220,637,921
  5. Step 5: Solve for x
    x = 895,220,637,921/626,886
  6. Step 6: Final answer
    x = 1,428,043.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.