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Finding the Third Proportional to 3,446,469 and 5,724,087.75

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Solution

The third proportional to 3,446,469 and 5,724,087.75 is: 9,506,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,469 : 5,724,087.75 = 5,724,087.75 : x
  2. Step 2: Convert to fraction form
    3,446,469/5,724,087.75 = 5,724,087.75/x
  3. Step 3: Cross multiply
    3,446,469x = 5,724,087.75 × 5,724,087.75
  4. Step 4: Simplify right side
    3,446,469x = 32,765,180,569,700.06
  5. Step 5: Solve for x
    x = 32,765,180,569,700.06/3,446,469
  6. Step 6: Final answer
    x = 9,506,883.88

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.