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Finding the Third Proportional to 1,004,525.44 and 1,516,129.69

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Solution

The third proportional to 1,004,525.44 and 1,516,129.69 is: 2,288,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,525.44 : 1,516,129.69 = 1,516,129.69 : x
  2. Step 2: Convert to fraction form
    1,004,525.44/1,516,129.69 = 1,516,129.69/x
  3. Step 3: Cross multiply
    1,004,525.44x = 1,516,129.69 × 1,516,129.69
  4. Step 4: Simplify right side
    1,004,525.44x = 2,298,649,229,318.85
  5. Step 5: Solve for x
    x = 2,298,649,229,318.85/1,004,525.44
  6. Step 6: Final answer
    x = 2,288,293.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.