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Finding the Third Proportional to 3,265,123 and 7,624,597

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Solution

The third proportional to 3,265,123 and 7,624,597 is: 17,804,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,123 : 7,624,597 = 7,624,597 : x
  2. Step 2: Convert to fraction form
    3,265,123/7,624,597 = 7,624,597/x
  3. Step 3: Cross multiply
    3,265,123x = 7,624,597 × 7,624,597
  4. Step 4: Simplify right side
    3,265,123x = 58,134,479,412,409
  5. Step 5: Solve for x
    x = 58,134,479,412,409/3,265,123
  6. Step 6: Final answer
    x = 17,804,682.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.