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Finding the Third Proportional to 626,891 and 955,025

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Solution

The third proportional to 626,891 and 955,025 is: 1,454,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,891 : 955,025 = 955,025 : x
  2. Step 2: Convert to fraction form
    626,891/955,025 = 955,025/x
  3. Step 3: Cross multiply
    626,891x = 955,025 × 955,025
  4. Step 4: Simplify right side
    626,891x = 912,072,750,625
  5. Step 5: Solve for x
    x = 912,072,750,625/626,891
  6. Step 6: Final answer
    x = 1,454,914.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.