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Finding the Third Proportional to 646,405.31 and 1,311,278.63

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Solution

The third proportional to 646,405.31 and 1,311,278.63 is: 2,660,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,405.31 : 1,311,278.63 = 1,311,278.63 : x
  2. Step 2: Convert to fraction form
    646,405.31/1,311,278.63 = 1,311,278.63/x
  3. Step 3: Cross multiply
    646,405.31x = 1,311,278.63 × 1,311,278.63
  4. Step 4: Simplify right side
    646,405.31x = 1,719,451,632,381.89
  5. Step 5: Solve for x
    x = 1,719,451,632,381.89/646,405.31
  6. Step 6: Final answer
    x = 2,660,020.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.