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Finding the Third Proportional to 656,100 and 1,434,744

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Solution

The third proportional to 656,100 and 1,434,744 is: 3,137,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,100 : 1,434,744 = 1,434,744 : x
  2. Step 2: Convert to fraction form
    656,100/1,434,744 = 1,434,744/x
  3. Step 3: Cross multiply
    656,100x = 1,434,744 × 1,434,744
  4. Step 4: Simplify right side
    656,100x = 2,058,490,345,536
  5. Step 5: Solve for x
    x = 2,058,490,345,536/656,100
  6. Step 6: Final answer
    x = 3,137,464.33

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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.