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Finding the Third Proportional to 421,128 and 920,984

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Solution

The third proportional to 421,128 and 920,984 is: 2,014,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,128 : 920,984 = 920,984 : x
  2. Step 2: Convert to fraction form
    421,128/920,984 = 920,984/x
  3. Step 3: Cross multiply
    421,128x = 920,984 × 920,984
  4. Step 4: Simplify right side
    421,128x = 848,211,528,256
  5. Step 5: Solve for x
    x = 848,211,528,256/421,128
  6. Step 6: Final answer
    x = 2,014,141.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.