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Finding the Third Proportional to 827,836 and 1,265,814

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Solution

The third proportional to 827,836 and 1,265,814 is: 1,935,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,836 : 1,265,814 = 1,265,814 : x
  2. Step 2: Convert to fraction form
    827,836/1,265,814 = 1,265,814/x
  3. Step 3: Cross multiply
    827,836x = 1,265,814 × 1,265,814
  4. Step 4: Simplify right side
    827,836x = 1,602,285,082,596
  5. Step 5: Solve for x
    x = 1,602,285,082,596/827,836
  6. Step 6: Final answer
    x = 1,935,510.27

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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.