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Finding the Third Proportional to 3,300,459.75 and 5,251,682.25

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Solution

The third proportional to 3,300,459.75 and 5,251,682.25 is: 8,356,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300,459.75 : 5,251,682.25 = 5,251,682.25 : x
  2. Step 2: Convert to fraction form
    3,300,459.75/5,251,682.25 = 5,251,682.25/x
  3. Step 3: Cross multiply
    3,300,459.75x = 5,251,682.25 × 5,251,682.25
  4. Step 4: Simplify right side
    3,300,459.75x = 27,580,166,454,965.06
  5. Step 5: Solve for x
    x = 27,580,166,454,965.06/3,300,459.75
  6. Step 6: Final answer
    x = 8,356,461.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.