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Finding the Third Proportional to 3,998,523 and 5,698,624.50

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Solution

The third proportional to 3,998,523 and 5,698,624.50 is: 8,121,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998,523 : 5,698,624.50 = 5,698,624.50 : x
  2. Step 2: Convert to fraction form
    3,998,523/5,698,624.50 = 5,698,624.50/x
  3. Step 3: Cross multiply
    3,998,523x = 5,698,624.50 × 5,698,624.50
  4. Step 4: Simplify right side
    3,998,523x = 32,474,321,192,000.25
  5. Step 5: Solve for x
    x = 32,474,321,192,000.25/3,998,523
  6. Step 6: Final answer
    x = 8,121,579.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.