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Finding the Third Proportional to 634,226 and 982,230

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Solution

The third proportional to 634,226 and 982,230 is: 1,521,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,226 : 982,230 = 982,230 : x
  2. Step 2: Convert to fraction form
    634,226/982,230 = 982,230/x
  3. Step 3: Cross multiply
    634,226x = 982,230 × 982,230
  4. Step 4: Simplify right side
    634,226x = 964,775,772,900
  5. Step 5: Solve for x
    x = 964,775,772,900/634,226
  6. Step 6: Final answer
    x = 1,521,186.10

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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.