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Finding the Third Proportional to 901,182 and 1,394,910

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Solution

The third proportional to 901,182 and 1,394,910 is: 2,159,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,182 : 1,394,910 = 1,394,910 : x
  2. Step 2: Convert to fraction form
    901,182/1,394,910 = 1,394,910/x
  3. Step 3: Cross multiply
    901,182x = 1,394,910 × 1,394,910
  4. Step 4: Simplify right side
    901,182x = 1,945,773,908,100
  5. Step 5: Solve for x
    x = 1,945,773,908,100/901,182
  6. Step 6: Final answer
    x = 2,159,135.34

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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.