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Finding the Third Proportional to 727,845.75 and 1,583,226

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Solution

The third proportional to 727,845.75 and 1,583,226 is: 3,443,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,845.75 : 1,583,226 = 1,583,226 : x
  2. Step 2: Convert to fraction form
    727,845.75/1,583,226 = 1,583,226/x
  3. Step 3: Cross multiply
    727,845.75x = 1,583,226 × 1,583,226
  4. Step 4: Simplify right side
    727,845.75x = 2,506,604,567,076
  5. Step 5: Solve for x
    x = 2,506,604,567,076/727,845.75
  6. Step 6: Final answer
    x = 3,443,867.83

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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.