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Finding the Third Proportional to 862,000 and 1,829,072

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Solution

The third proportional to 862,000 and 1,829,072 is: 3,881,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,000 : 1,829,072 = 1,829,072 : x
  2. Step 2: Convert to fraction form
    862,000/1,829,072 = 1,829,072/x
  3. Step 3: Cross multiply
    862,000x = 1,829,072 × 1,829,072
  4. Step 4: Simplify right side
    862,000x = 3,345,504,381,184
  5. Step 5: Solve for x
    x = 3,345,504,381,184/862,000
  6. Step 6: Final answer
    x = 3,881,095.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.