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Finding the Third Proportional to 828,900 and 1,216,152

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Solution

The third proportional to 828,900 and 1,216,152 is: 1,784,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,900 : 1,216,152 = 1,216,152 : x
  2. Step 2: Convert to fraction form
    828,900/1,216,152 = 1,216,152/x
  3. Step 3: Cross multiply
    828,900x = 1,216,152 × 1,216,152
  4. Step 4: Simplify right side
    828,900x = 1,479,025,687,104
  5. Step 5: Solve for x
    x = 1,479,025,687,104/828,900
  6. Step 6: Final answer
    x = 1,784,323.43

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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.