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Finding the Third Proportional to 2,008,054.13 and 3,059,143.88

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Solution

The third proportional to 2,008,054.13 and 3,059,143.88 is: 4,660,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,054.13 : 3,059,143.88 = 3,059,143.88 : x
  2. Step 2: Convert to fraction form
    2,008,054.13/3,059,143.88 = 3,059,143.88/x
  3. Step 3: Cross multiply
    2,008,054.13x = 3,059,143.88 × 3,059,143.88
  4. Step 4: Simplify right side
    2,008,054.13x = 9,358,361,247,950.02
  5. Step 5: Solve for x
    x = 9,358,361,247,950.02/2,008,054.13
  6. Step 6: Final answer
    x = 4,660,412.85

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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.