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Finding the Third Proportional to 484,248 and 988,164

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Solution

The third proportional to 484,248 and 988,164 is: 2,016,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,248 : 988,164 = 988,164 : x
  2. Step 2: Convert to fraction form
    484,248/988,164 = 988,164/x
  3. Step 3: Cross multiply
    484,248x = 988,164 × 988,164
  4. Step 4: Simplify right side
    484,248x = 976,468,090,896
  5. Step 5: Solve for x
    x = 976,468,090,896/484,248
  6. Step 6: Final answer
    x = 2,016,462.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.