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Finding the Third Proportional to 429,180 and 930,036

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Solution

The third proportional to 429,180 and 930,036 is: 2,015,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,180 : 930,036 = 930,036 : x
  2. Step 2: Convert to fraction form
    429,180/930,036 = 930,036/x
  3. Step 3: Cross multiply
    429,180x = 930,036 × 930,036
  4. Step 4: Simplify right side
    429,180x = 864,966,961,296
  5. Step 5: Solve for x
    x = 864,966,961,296/429,180
  6. Step 6: Final answer
    x = 2,015,394.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.