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Finding the Third Proportional to 903,048 and 1,961,778

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Solution

The third proportional to 903,048 and 1,961,778 is: 4,261,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,048 : 1,961,778 = 1,961,778 : x
  2. Step 2: Convert to fraction form
    903,048/1,961,778 = 1,961,778/x
  3. Step 3: Cross multiply
    903,048x = 1,961,778 × 1,961,778
  4. Step 4: Simplify right side
    903,048x = 3,848,572,921,284
  5. Step 5: Solve for x
    x = 3,848,572,921,284/903,048
  6. Step 6: Final answer
    x = 4,261,758.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.