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Finding the Third Proportional to 656,108 and 1,434,760

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Solution

The third proportional to 656,108 and 1,434,760 is: 3,137,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,108 : 1,434,760 = 1,434,760 : x
  2. Step 2: Convert to fraction form
    656,108/1,434,760 = 1,434,760/x
  3. Step 3: Cross multiply
    656,108x = 1,434,760 × 1,434,760
  4. Step 4: Simplify right side
    656,108x = 2,058,536,257,600
  5. Step 5: Solve for x
    x = 2,058,536,257,600/656,108
  6. Step 6: Final answer
    x = 3,137,496.05

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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.