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Finding the Third Proportional to 2,736,909 and 3,942,430

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Solution

The third proportional to 2,736,909 and 3,942,430 is: 5,678,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,909 : 3,942,430 = 3,942,430 : x
  2. Step 2: Convert to fraction form
    2,736,909/3,942,430 = 3,942,430/x
  3. Step 3: Cross multiply
    2,736,909x = 3,942,430 × 3,942,430
  4. Step 4: Simplify right side
    2,736,909x = 15,542,754,304,900
  5. Step 5: Solve for x
    x = 15,542,754,304,900/2,736,909
  6. Step 6: Final answer
    x = 5,678,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.