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Finding the Third Proportional to 189,926 and 443,710

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Solution

The third proportional to 189,926 and 443,710 is: 1,036,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,926 : 443,710 = 443,710 : x
  2. Step 2: Convert to fraction form
    189,926/443,710 = 443,710/x
  3. Step 3: Cross multiply
    189,926x = 443,710 × 443,710
  4. Step 4: Simplify right side
    189,926x = 196,878,564,100
  5. Step 5: Solve for x
    x = 196,878,564,100/189,926
  6. Step 6: Final answer
    x = 1,036,606.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.