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Finding the Third Proportional to 526,353.19 and 1,107,708.75

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Solution

The third proportional to 526,353.19 and 1,107,708.75 is: 2,331,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,353.19 : 1,107,708.75 = 1,107,708.75 : x
  2. Step 2: Convert to fraction form
    526,353.19/1,107,708.75 = 1,107,708.75/x
  3. Step 3: Cross multiply
    526,353.19x = 1,107,708.75 × 1,107,708.75
  4. Step 4: Simplify right side
    526,353.19x = 1,227,018,674,826.56
  5. Step 5: Solve for x
    x = 1,227,018,674,826.56/526,353.19
  6. Step 6: Final answer
    x = 2,331,169.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.