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Finding the Third Proportional to 634,199.63 and 982,206

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Solution

The third proportional to 634,199.63 and 982,206 is: 1,521,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,199.63 : 982,206 = 982,206 : x
  2. Step 2: Convert to fraction form
    634,199.63/982,206 = 982,206/x
  3. Step 3: Cross multiply
    634,199.63x = 982,206 × 982,206
  4. Step 4: Simplify right side
    634,199.63x = 964,728,626,436
  5. Step 5: Solve for x
    x = 964,728,626,436/634,199.63
  6. Step 6: Final answer
    x = 1,521,175.02

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