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Finding the Third Proportional to 1,234 and 1,973

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Solution

The third proportional to 1,234 and 1,973 is: 3,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234 : 1,973 = 1,973 : x
  2. Step 2: Convert to fraction form
    1,234/1,973 = 1,973/x
  3. Step 3: Cross multiply
    1,234x = 1,973 × 1,973
  4. Step 4: Simplify right side
    1,234x = 3,892,729
  5. Step 5: Solve for x
    x = 3,892,729/1,234
  6. Step 6: Final answer
    x = 3,154.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.