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Finding the Third Proportional to 828,008 and 1,266,156

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Solution

The third proportional to 828,008 and 1,266,156 is: 1,936,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,008 : 1,266,156 = 1,266,156 : x
  2. Step 2: Convert to fraction form
    828,008/1,266,156 = 1,266,156/x
  3. Step 3: Cross multiply
    828,008x = 1,266,156 × 1,266,156
  4. Step 4: Simplify right side
    828,008x = 1,603,151,016,336
  5. Step 5: Solve for x
    x = 1,603,151,016,336/828,008
  6. Step 6: Final answer
    x = 1,936,154.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.