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Finding the Third Proportional to 932,176 and 2,042,200

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Solution

The third proportional to 932,176 and 2,042,200 is: 4,474,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,176 : 2,042,200 = 2,042,200 : x
  2. Step 2: Convert to fraction form
    932,176/2,042,200 = 2,042,200/x
  3. Step 3: Cross multiply
    932,176x = 2,042,200 × 2,042,200
  4. Step 4: Simplify right side
    932,176x = 4,170,580,840,000
  5. Step 5: Solve for x
    x = 4,170,580,840,000/932,176
  6. Step 6: Final answer
    x = 4,474,027.27

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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.