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Finding the Third Proportional to 427,896 and 920,160

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Solution

The third proportional to 427,896 and 920,160 is: 1,978,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,896 : 920,160 = 920,160 : x
  2. Step 2: Convert to fraction form
    427,896/920,160 = 920,160/x
  3. Step 3: Cross multiply
    427,896x = 920,160 × 920,160
  4. Step 4: Simplify right side
    427,896x = 846,694,425,600
  5. Step 5: Solve for x
    x = 846,694,425,600/427,896
  6. Step 6: Final answer
    x = 1,978,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.