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Finding the Third Proportional to 434,170 and 938,540

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Solution

The third proportional to 434,170 and 938,540 is: 2,028,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,170 : 938,540 = 938,540 : x
  2. Step 2: Convert to fraction form
    434,170/938,540 = 938,540/x
  3. Step 3: Cross multiply
    434,170x = 938,540 × 938,540
  4. Step 4: Simplify right side
    434,170x = 880,857,331,600
  5. Step 5: Solve for x
    x = 880,857,331,600/434,170
  6. Step 6: Final answer
    x = 2,028,830.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.