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Finding the Third Proportional to 3,009,898 and 6,428,000

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Solution

The third proportional to 3,009,898 and 6,428,000 is: 13,727,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,898 : 6,428,000 = 6,428,000 : x
  2. Step 2: Convert to fraction form
    3,009,898/6,428,000 = 6,428,000/x
  3. Step 3: Cross multiply
    3,009,898x = 6,428,000 × 6,428,000
  4. Step 4: Simplify right side
    3,009,898x = 41,319,184,000,000
  5. Step 5: Solve for x
    x = 41,319,184,000,000/3,009,898
  6. Step 6: Final answer
    x = 13,727,768.85

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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.