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Finding the Third Proportional to 905,744 and 1,938,334

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Solution

The third proportional to 905,744 and 1,938,334 is: 4,148,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,744 : 1,938,334 = 1,938,334 : x
  2. Step 2: Convert to fraction form
    905,744/1,938,334 = 1,938,334/x
  3. Step 3: Cross multiply
    905,744x = 1,938,334 × 1,938,334
  4. Step 4: Simplify right side
    905,744x = 3,757,138,695,556
  5. Step 5: Solve for x
    x = 3,757,138,695,556/905,744
  6. Step 6: Final answer
    x = 4,148,124.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.