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Finding the Third Proportional to 1,255,834.13 and 2,004,927.19

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Solution

The third proportional to 1,255,834.13 and 2,004,927.19 is: 3,200,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,834.13 : 2,004,927.19 = 2,004,927.19 : x
  2. Step 2: Convert to fraction form
    1,255,834.13/2,004,927.19 = 2,004,927.19/x
  3. Step 3: Cross multiply
    1,255,834.13x = 2,004,927.19 × 2,004,927.19
  4. Step 4: Simplify right side
    1,255,834.13x = 4,019,733,027,176.66
  5. Step 5: Solve for x
    x = 4,019,733,027,176.66/1,255,834.13
  6. Step 6: Final answer
    x = 3,200,847.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.