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Finding the Third Proportional to 442,944 and 948,625

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Solution

The third proportional to 442,944 and 948,625 is: 2,031,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,944 : 948,625 = 948,625 : x
  2. Step 2: Convert to fraction form
    442,944/948,625 = 948,625/x
  3. Step 3: Cross multiply
    442,944x = 948,625 × 948,625
  4. Step 4: Simplify right side
    442,944x = 899,889,390,625
  5. Step 5: Solve for x
    x = 899,889,390,625/442,944
  6. Step 6: Final answer
    x = 2,031,609.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.