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Finding the Third Proportional to 828,388 and 1,811,840

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Solution

The third proportional to 828,388 and 1,811,840 is: 3,962,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,388 : 1,811,840 = 1,811,840 : x
  2. Step 2: Convert to fraction form
    828,388/1,811,840 = 1,811,840/x
  3. Step 3: Cross multiply
    828,388x = 1,811,840 × 1,811,840
  4. Step 4: Simplify right side
    828,388x = 3,282,764,185,600
  5. Step 5: Solve for x
    x = 3,282,764,185,600/828,388
  6. Step 6: Final answer
    x = 3,962,834.07

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