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Finding the Third Proportional to 828,636 and 1,254,156

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Solution

The third proportional to 828,636 and 1,254,156 is: 1,898,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,636 : 1,254,156 = 1,254,156 : x
  2. Step 2: Convert to fraction form
    828,636/1,254,156 = 1,254,156/x
  3. Step 3: Cross multiply
    828,636x = 1,254,156 × 1,254,156
  4. Step 4: Simplify right side
    828,636x = 1,572,907,272,336
  5. Step 5: Solve for x
    x = 1,572,907,272,336/828,636
  6. Step 6: Final answer
    x = 1,898,188.44

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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.