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Finding the Third Proportional to 862,146 and 1,873,520

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Solution

The third proportional to 862,146 and 1,873,520 is: 4,071,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,146 : 1,873,520 = 1,873,520 : x
  2. Step 2: Convert to fraction form
    862,146/1,873,520 = 1,873,520/x
  3. Step 3: Cross multiply
    862,146x = 1,873,520 × 1,873,520
  4. Step 4: Simplify right side
    862,146x = 3,510,077,190,400
  5. Step 5: Solve for x
    x = 3,510,077,190,400/862,146
  6. Step 6: Final answer
    x = 4,071,325.73

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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.