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Finding the Third Proportional to 433,904 and 914,464

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Solution

The third proportional to 433,904 and 914,464 is: 1,927,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,904 : 914,464 = 914,464 : x
  2. Step 2: Convert to fraction form
    433,904/914,464 = 914,464/x
  3. Step 3: Cross multiply
    433,904x = 914,464 × 914,464
  4. Step 4: Simplify right side
    433,904x = 836,244,407,296
  5. Step 5: Solve for x
    x = 836,244,407,296/433,904
  6. Step 6: Final answer
    x = 1,927,256.74

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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.