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Finding the Third Proportional to 451,542 and 987,041

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Solution

The third proportional to 451,542 and 987,041 is: 2,157,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,542 : 987,041 = 987,041 : x
  2. Step 2: Convert to fraction form
    451,542/987,041 = 987,041/x
  3. Step 3: Cross multiply
    451,542x = 987,041 × 987,041
  4. Step 4: Simplify right side
    451,542x = 974,249,935,681
  5. Step 5: Solve for x
    x = 974,249,935,681/451,542
  6. Step 6: Final answer
    x = 2,157,606.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.