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Finding the Third Proportional to 410,288 and 862,044

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Solution

The third proportional to 410,288 and 862,044 is: 1,811,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,288 : 862,044 = 862,044 : x
  2. Step 2: Convert to fraction form
    410,288/862,044 = 862,044/x
  3. Step 3: Cross multiply
    410,288x = 862,044 × 862,044
  4. Step 4: Simplify right side
    410,288x = 743,119,857,936
  5. Step 5: Solve for x
    x = 743,119,857,936/410,288
  6. Step 6: Final answer
    x = 1,811,215.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.