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Finding the Third Proportional to 1,533,840 and 3,337,029

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Solution

The third proportional to 1,533,840 and 3,337,029 is: 7,260,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,840 : 3,337,029 = 3,337,029 : x
  2. Step 2: Convert to fraction form
    1,533,840/3,337,029 = 3,337,029/x
  3. Step 3: Cross multiply
    1,533,840x = 3,337,029 × 3,337,029
  4. Step 4: Simplify right side
    1,533,840x = 11,135,762,546,841
  5. Step 5: Solve for x
    x = 11,135,762,546,841/1,533,840
  6. Step 6: Final answer
    x = 7,260,054.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.