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Finding the Third Proportional to 828,156 and 1,172,088

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Solution

The third proportional to 828,156 and 1,172,088 is: 1,658,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,156 : 1,172,088 = 1,172,088 : x
  2. Step 2: Convert to fraction form
    828,156/1,172,088 = 1,172,088/x
  3. Step 3: Cross multiply
    828,156x = 1,172,088 × 1,172,088
  4. Step 4: Simplify right side
    828,156x = 1,373,790,279,744
  5. Step 5: Solve for x
    x = 1,373,790,279,744/828,156
  6. Step 6: Final answer
    x = 1,658,854.47

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.