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Finding the Third Proportional to 626,771 and 968,907

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Solution

The third proportional to 626,771 and 968,907 is: 1,497,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,771 : 968,907 = 968,907 : x
  2. Step 2: Convert to fraction form
    626,771/968,907 = 968,907/x
  3. Step 3: Cross multiply
    626,771x = 968,907 × 968,907
  4. Step 4: Simplify right side
    626,771x = 938,780,774,649
  5. Step 5: Solve for x
    x = 938,780,774,649/626,771
  6. Step 6: Final answer
    x = 1,497,805.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.