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Finding the Third Proportional to 429,040 and 942,100

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Solution

The third proportional to 429,040 and 942,100 is: 2,068,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,040 : 942,100 = 942,100 : x
  2. Step 2: Convert to fraction form
    429,040/942,100 = 942,100/x
  3. Step 3: Cross multiply
    429,040x = 942,100 × 942,100
  4. Step 4: Simplify right side
    429,040x = 887,552,410,000
  5. Step 5: Solve for x
    x = 887,552,410,000/429,040
  6. Step 6: Final answer
    x = 2,068,693.85

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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.