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Finding the Third Proportional to 433,954 and 914,564

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Solution

The third proportional to 433,954 and 914,564 is: 1,927,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,954 : 914,564 = 914,564 : x
  2. Step 2: Convert to fraction form
    433,954/914,564 = 914,564/x
  3. Step 3: Cross multiply
    433,954x = 914,564 × 914,564
  4. Step 4: Simplify right side
    433,954x = 836,427,310,096
  5. Step 5: Solve for x
    x = 836,427,310,096/433,954
  6. Step 6: Final answer
    x = 1,927,456.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.