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Finding the Third Proportional to 839,162 and 1,827,688

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Solution

The third proportional to 839,162 and 1,827,688 is: 3,980,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,162 : 1,827,688 = 1,827,688 : x
  2. Step 2: Convert to fraction form
    839,162/1,827,688 = 1,827,688/x
  3. Step 3: Cross multiply
    839,162x = 1,827,688 × 1,827,688
  4. Step 4: Simplify right side
    839,162x = 3,340,443,425,344
  5. Step 5: Solve for x
    x = 3,340,443,425,344/839,162
  6. Step 6: Final answer
    x = 3,980,689.58

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Why These Related Problems?

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