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Finding the Third Proportional to 863,173.13 and 1,306,752.19

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Solution

The third proportional to 863,173.13 and 1,306,752.19 is: 1,978,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,173.13 : 1,306,752.19 = 1,306,752.19 : x
  2. Step 2: Convert to fraction form
    863,173.13/1,306,752.19 = 1,306,752.19/x
  3. Step 3: Cross multiply
    863,173.13x = 1,306,752.19 × 1,306,752.19
  4. Step 4: Simplify right side
    863,173.13x = 1,707,601,279,536.04
  5. Step 5: Solve for x
    x = 1,707,601,279,536.04/863,173.13
  6. Step 6: Final answer
    x = 1,978,283.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.