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Finding the Third Proportional to 828,432 and 1,777,696

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Solution

The third proportional to 828,432 and 1,777,696 is: 3,814,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,432 : 1,777,696 = 1,777,696 : x
  2. Step 2: Convert to fraction form
    828,432/1,777,696 = 1,777,696/x
  3. Step 3: Cross multiply
    828,432x = 1,777,696 × 1,777,696
  4. Step 4: Simplify right side
    828,432x = 3,160,203,068,416
  5. Step 5: Solve for x
    x = 3,160,203,068,416/828,432
  6. Step 6: Final answer
    x = 3,814,680.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.