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Finding the Third Proportional to 839,169 and 1,827,702

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Solution

The third proportional to 839,169 and 1,827,702 is: 3,980,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,169 : 1,827,702 = 1,827,702 : x
  2. Step 2: Convert to fraction form
    839,169/1,827,702 = 1,827,702/x
  3. Step 3: Cross multiply
    839,169x = 1,827,702 × 1,827,702
  4. Step 4: Simplify right side
    839,169x = 3,340,494,600,804
  5. Step 5: Solve for x
    x = 3,340,494,600,804/839,169
  6. Step 6: Final answer
    x = 3,980,717.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.