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Finding the Third Proportional to 901,178 and 1,394,908

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Solution

The third proportional to 901,178 and 1,394,908 is: 2,159,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,178 : 1,394,908 = 1,394,908 : x
  2. Step 2: Convert to fraction form
    901,178/1,394,908 = 1,394,908/x
  3. Step 3: Cross multiply
    901,178x = 1,394,908 × 1,394,908
  4. Step 4: Simplify right side
    901,178x = 1,945,768,328,464
  5. Step 5: Solve for x
    x = 1,945,768,328,464/901,178
  6. Step 6: Final answer
    x = 2,159,138.74

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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.