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Finding the Third Proportional to 434,083 and 938,351

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Solution

The third proportional to 434,083 and 938,351 is: 2,028,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,083 : 938,351 = 938,351 : x
  2. Step 2: Convert to fraction form
    434,083/938,351 = 938,351/x
  3. Step 3: Cross multiply
    434,083x = 938,351 × 938,351
  4. Step 4: Simplify right side
    434,083x = 880,502,599,201
  5. Step 5: Solve for x
    x = 880,502,599,201/434,083
  6. Step 6: Final answer
    x = 2,028,419.91

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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.