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Finding the Third Proportional to 437,318 and 943,540

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Solution

The third proportional to 437,318 and 943,540 is: 2,035,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,318 : 943,540 = 943,540 : x
  2. Step 2: Convert to fraction form
    437,318/943,540 = 943,540/x
  3. Step 3: Cross multiply
    437,318x = 943,540 × 943,540
  4. Step 4: Simplify right side
    437,318x = 890,267,731,600
  5. Step 5: Solve for x
    x = 890,267,731,600/437,318
  6. Step 6: Final answer
    x = 2,035,744.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.