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Finding the Third Proportional to 434,098 and 938,377

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Solution

The third proportional to 434,098 and 938,377 is: 2,028,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,098 : 938,377 = 938,377 : x
  2. Step 2: Convert to fraction form
    434,098/938,377 = 938,377/x
  3. Step 3: Cross multiply
    434,098x = 938,377 × 938,377
  4. Step 4: Simplify right side
    434,098x = 880,551,394,129
  5. Step 5: Solve for x
    x = 880,551,394,129/434,098
  6. Step 6: Final answer
    x = 2,028,462.22

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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.