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Finding the Third Proportional to 1,685,424 and 2,570,114

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Solution

The third proportional to 1,685,424 and 2,570,114 is: 3,919,183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,424 : 2,570,114 = 2,570,114 : x
  2. Step 2: Convert to fraction form
    1,685,424/2,570,114 = 2,570,114/x
  3. Step 3: Cross multiply
    1,685,424x = 2,570,114 × 2,570,114
  4. Step 4: Simplify right side
    1,685,424x = 6,605,485,972,996
  5. Step 5: Solve for x
    x = 6,605,485,972,996/1,685,424
  6. Step 6: Final answer
    x = 3,919,183.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.