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Finding the Third Proportional to 914,121 and 1,938,834

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Solution

The third proportional to 914,121 and 1,938,834 is: 4,112,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,121 : 1,938,834 = 1,938,834 : x
  2. Step 2: Convert to fraction form
    914,121/1,938,834 = 1,938,834/x
  3. Step 3: Cross multiply
    914,121x = 1,938,834 × 1,938,834
  4. Step 4: Simplify right side
    914,121x = 3,759,077,279,556
  5. Step 5: Solve for x
    x = 3,759,077,279,556/914,121
  6. Step 6: Final answer
    x = 4,112,231.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.