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Finding the Third Proportional to 522,905.63 and 1,145,319.75

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Solution

The third proportional to 522,905.63 and 1,145,319.75 is: 2,508,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,905.63 : 1,145,319.75 = 1,145,319.75 : x
  2. Step 2: Convert to fraction form
    522,905.63/1,145,319.75 = 1,145,319.75/x
  3. Step 3: Cross multiply
    522,905.63x = 1,145,319.75 × 1,145,319.75
  4. Step 4: Simplify right side
    522,905.63x = 1,311,757,329,740.06
  5. Step 5: Solve for x
    x = 1,311,757,329,740.06/522,905.63
  6. Step 6: Final answer
    x = 2,508,592.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.