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Finding the Third Proportional to 950,418 and 1,968,203

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Solution

The third proportional to 950,418 and 1,968,203 is: 4,075,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,418 : 1,968,203 = 1,968,203 : x
  2. Step 2: Convert to fraction form
    950,418/1,968,203 = 1,968,203/x
  3. Step 3: Cross multiply
    950,418x = 1,968,203 × 1,968,203
  4. Step 4: Simplify right side
    950,418x = 3,873,823,049,209
  5. Step 5: Solve for x
    x = 3,873,823,049,209/950,418
  6. Step 6: Final answer
    x = 4,075,915.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.