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Finding the Third Proportional to 862,072 and 1,873,361

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Solution

The third proportional to 862,072 and 1,873,361 is: 4,070,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,072 : 1,873,361 = 1,873,361 : x
  2. Step 2: Convert to fraction form
    862,072/1,873,361 = 1,873,361/x
  3. Step 3: Cross multiply
    862,072x = 1,873,361 × 1,873,361
  4. Step 4: Simplify right side
    862,072x = 3,509,481,436,321
  5. Step 5: Solve for x
    x = 3,509,481,436,321/862,072
  6. Step 6: Final answer
    x = 4,070,984.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.