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Finding the Third Proportional to 953,138 and 1,972,372

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Solution

The third proportional to 953,138 and 1,972,372 is: 4,081,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,138 : 1,972,372 = 1,972,372 : x
  2. Step 2: Convert to fraction form
    953,138/1,972,372 = 1,972,372/x
  3. Step 3: Cross multiply
    953,138x = 1,972,372 × 1,972,372
  4. Step 4: Simplify right side
    953,138x = 3,890,251,306,384
  5. Step 5: Solve for x
    x = 3,890,251,306,384/953,138
  6. Step 6: Final answer
    x = 4,081,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.