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Finding the Third Proportional to 828,800 and 1,778,432

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Solution

The third proportional to 828,800 and 1,778,432 is: 3,816,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,800 : 1,778,432 = 1,778,432 : x
  2. Step 2: Convert to fraction form
    828,800/1,778,432 = 1,778,432/x
  3. Step 3: Cross multiply
    828,800x = 1,778,432 × 1,778,432
  4. Step 4: Simplify right side
    828,800x = 3,162,820,378,624
  5. Step 5: Solve for x
    x = 3,162,820,378,624/828,800
  6. Step 6: Final answer
    x = 3,816,144.28

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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.