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Finding the Third Proportional to 626,088 and 838,752

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Solution

The third proportional to 626,088 and 838,752 is: 1,123,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,088 : 838,752 = 838,752 : x
  2. Step 2: Convert to fraction form
    626,088/838,752 = 838,752/x
  3. Step 3: Cross multiply
    626,088x = 838,752 × 838,752
  4. Step 4: Simplify right side
    626,088x = 703,504,917,504
  5. Step 5: Solve for x
    x = 703,504,917,504/626,088
  6. Step 6: Final answer
    x = 1,123,651.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.