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Finding the Third Proportional to 434,081 and 938,347

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Solution

The third proportional to 434,081 and 938,347 is: 2,028,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,081 : 938,347 = 938,347 : x
  2. Step 2: Convert to fraction form
    434,081/938,347 = 938,347/x
  3. Step 3: Cross multiply
    434,081x = 938,347 × 938,347
  4. Step 4: Simplify right side
    434,081x = 880,495,092,409
  5. Step 5: Solve for x
    x = 880,495,092,409/434,081
  6. Step 6: Final answer
    x = 2,028,411.96

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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.