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Finding the Third Proportional to 847,185.75 and 1,290,631.50

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Solution

The third proportional to 847,185.75 and 1,290,631.50 is: 1,966,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,185.75 : 1,290,631.50 = 1,290,631.50 : x
  2. Step 2: Convert to fraction form
    847,185.75/1,290,631.50 = 1,290,631.50/x
  3. Step 3: Cross multiply
    847,185.75x = 1,290,631.50 × 1,290,631.50
  4. Step 4: Simplify right side
    847,185.75x = 1,665,729,668,792.25
  5. Step 5: Solve for x
    x = 1,665,729,668,792.25/847,185.75
  6. Step 6: Final answer
    x = 1,966,191.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.