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Finding the Third Proportional to 410,292 and 862,052

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Solution

The third proportional to 410,292 and 862,052 is: 1,811,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,292 : 862,052 = 862,052 : x
  2. Step 2: Convert to fraction form
    410,292/862,052 = 862,052/x
  3. Step 3: Cross multiply
    410,292x = 862,052 × 862,052
  4. Step 4: Simplify right side
    410,292x = 743,133,650,704
  5. Step 5: Solve for x
    x = 743,133,650,704/410,292
  6. Step 6: Final answer
    x = 1,811,231.15

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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.