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Finding the Third Proportional to 595,995 and 1,298,383.50

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Solution

The third proportional to 595,995 and 1,298,383.50 is: 2,828,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,995 : 1,298,383.50 = 1,298,383.50 : x
  2. Step 2: Convert to fraction form
    595,995/1,298,383.50 = 1,298,383.50/x
  3. Step 3: Cross multiply
    595,995x = 1,298,383.50 × 1,298,383.50
  4. Step 4: Simplify right side
    595,995x = 1,685,799,713,072.25
  5. Step 5: Solve for x
    x = 1,685,799,713,072.25/595,995
  6. Step 6: Final answer
    x = 2,828,546.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.