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Finding the Third Proportional to 2,358,661 and 3,534,306

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Solution

The third proportional to 2,358,661 and 3,534,306 is: 5,295,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,661 : 3,534,306 = 3,534,306 : x
  2. Step 2: Convert to fraction form
    2,358,661/3,534,306 = 3,534,306/x
  3. Step 3: Cross multiply
    2,358,661x = 3,534,306 × 3,534,306
  4. Step 4: Simplify right side
    2,358,661x = 12,491,318,901,636
  5. Step 5: Solve for x
    x = 12,491,318,901,636/2,358,661
  6. Step 6: Final answer
    x = 5,295,936.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.