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Finding the Third Proportional to 1,649,062.13 and 2,522,633.63

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Solution

The third proportional to 1,649,062.13 and 2,522,633.63 is: 3,858,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,062.13 : 2,522,633.63 = 2,522,633.63 : x
  2. Step 2: Convert to fraction form
    1,649,062.13/2,522,633.63 = 2,522,633.63/x
  3. Step 3: Cross multiply
    1,649,062.13x = 2,522,633.63 × 2,522,633.63
  4. Step 4: Simplify right side
    1,649,062.13x = 6,363,680,405,980.64
  5. Step 5: Solve for x
    x = 6,363,680,405,980.64/1,649,062.13
  6. Step 6: Final answer
    x = 3,858,969.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.