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Finding the Third Proportional to 828,343 and 1,811,773

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Solution

The third proportional to 828,343 and 1,811,773 is: 3,962,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,343 : 1,811,773 = 1,811,773 : x
  2. Step 2: Convert to fraction form
    828,343/1,811,773 = 1,811,773/x
  3. Step 3: Cross multiply
    828,343x = 1,811,773 × 1,811,773
  4. Step 4: Simplify right side
    828,343x = 3,282,521,403,529
  5. Step 5: Solve for x
    x = 3,282,521,403,529/828,343
  6. Step 6: Final answer
    x = 3,962,756.25

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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.