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Finding the Third Proportional to 634,229 and 982,236

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Solution

The third proportional to 634,229 and 982,236 is: 1,521,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,229 : 982,236 = 982,236 : x
  2. Step 2: Convert to fraction form
    634,229/982,236 = 982,236/x
  3. Step 3: Cross multiply
    634,229x = 982,236 × 982,236
  4. Step 4: Simplify right side
    634,229x = 964,787,559,696
  5. Step 5: Solve for x
    x = 964,787,559,696/634,229
  6. Step 6: Final answer
    x = 1,521,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.