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Finding the Third Proportional to 827,964 and 1,214,676

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Solution

The third proportional to 827,964 and 1,214,676 is: 1,782,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,964 : 1,214,676 = 1,214,676 : x
  2. Step 2: Convert to fraction form
    827,964/1,214,676 = 1,214,676/x
  3. Step 3: Cross multiply
    827,964x = 1,214,676 × 1,214,676
  4. Step 4: Simplify right side
    827,964x = 1,475,437,784,976
  5. Step 5: Solve for x
    x = 1,475,437,784,976/827,964
  6. Step 6: Final answer
    x = 1,782,007.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.