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Finding the Third Proportional to 828,632 and 1,254,150

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Solution

The third proportional to 828,632 and 1,254,150 is: 1,898,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,632 : 1,254,150 = 1,254,150 : x
  2. Step 2: Convert to fraction form
    828,632/1,254,150 = 1,254,150/x
  3. Step 3: Cross multiply
    828,632x = 1,254,150 × 1,254,150
  4. Step 4: Simplify right side
    828,632x = 1,572,892,222,500
  5. Step 5: Solve for x
    x = 1,572,892,222,500/828,632
  6. Step 6: Final answer
    x = 1,898,179.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.