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Finding the Third Proportional to 757,738 and 1,620,542

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Solution

The third proportional to 757,738 and 1,620,542 is: 3,465,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,738 : 1,620,542 = 1,620,542 : x
  2. Step 2: Convert to fraction form
    757,738/1,620,542 = 1,620,542/x
  3. Step 3: Cross multiply
    757,738x = 1,620,542 × 1,620,542
  4. Step 4: Simplify right side
    757,738x = 2,626,156,373,764
  5. Step 5: Solve for x
    x = 2,626,156,373,764/757,738
  6. Step 6: Final answer
    x = 3,465,784.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.