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Finding the Third Proportional to 434,173 and 938,546

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Solution

The third proportional to 434,173 and 938,546 is: 2,028,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,173 : 938,546 = 938,546 : x
  2. Step 2: Convert to fraction form
    434,173/938,546 = 938,546/x
  3. Step 3: Cross multiply
    434,173x = 938,546 × 938,546
  4. Step 4: Simplify right side
    434,173x = 880,868,594,116
  5. Step 5: Solve for x
    x = 880,868,594,116/434,173
  6. Step 6: Final answer
    x = 2,028,842.41

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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.