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Finding the Third Proportional to 828,345 and 1,811,778

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Solution

The third proportional to 828,345 and 1,811,778 is: 3,962,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,345 : 1,811,778 = 1,811,778 : x
  2. Step 2: Convert to fraction form
    828,345/1,811,778 = 1,811,778/x
  3. Step 3: Cross multiply
    828,345x = 1,811,778 × 1,811,778
  4. Step 4: Simplify right side
    828,345x = 3,282,539,521,284
  5. Step 5: Solve for x
    x = 3,282,539,521,284/828,345
  6. Step 6: Final answer
    x = 3,962,768.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.