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Finding the Third Proportional to 421,738 and 909,907

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Solution

The third proportional to 421,738 and 909,907 is: 1,963,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,738 : 909,907 = 909,907 : x
  2. Step 2: Convert to fraction form
    421,738/909,907 = 909,907/x
  3. Step 3: Cross multiply
    421,738x = 909,907 × 909,907
  4. Step 4: Simplify right side
    421,738x = 827,930,748,649
  5. Step 5: Solve for x
    x = 827,930,748,649/421,738
  6. Step 6: Final answer
    x = 1,963,140.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.