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Finding the Third Proportional to 421,650 and 926,244

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Solution

The third proportional to 421,650 and 926,244 is: 2,034,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650 : 926,244 = 926,244 : x
  2. Step 2: Convert to fraction form
    421,650/926,244 = 926,244/x
  3. Step 3: Cross multiply
    421,650x = 926,244 × 926,244
  4. Step 4: Simplify right side
    421,650x = 857,927,947,536
  5. Step 5: Solve for x
    x = 857,927,947,536/421,650
  6. Step 6: Final answer
    x = 2,034,692.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.