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Finding the Third Proportional to 504,870.75 and 1,080,676.13

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Solution

The third proportional to 504,870.75 and 1,080,676.13 is: 2,313,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,870.75 : 1,080,676.13 = 1,080,676.13 : x
  2. Step 2: Convert to fraction form
    504,870.75/1,080,676.13 = 1,080,676.13/x
  3. Step 3: Cross multiply
    504,870.75x = 1,080,676.13 × 1,080,676.13
  4. Step 4: Simplify right side
    504,870.75x = 1,167,860,887,145.02
  5. Step 5: Solve for x
    x = 1,167,860,887,145.02/504,870.75
  6. Step 6: Final answer
    x = 2,313,187.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.