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Finding the Third Proportional to 840,225.38 and 1,273,019.63

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Solution

The third proportional to 840,225.38 and 1,273,019.63 is: 1,928,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,225.38 : 1,273,019.63 = 1,273,019.63 : x
  2. Step 2: Convert to fraction form
    840,225.38/1,273,019.63 = 1,273,019.63/x
  3. Step 3: Cross multiply
    840,225.38x = 1,273,019.63 × 1,273,019.63
  4. Step 4: Simplify right side
    840,225.38x = 1,620,578,965,635.14
  5. Step 5: Solve for x
    x = 1,620,578,965,635.14/840,225.38
  6. Step 6: Final answer
    x = 1,928,743.18

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Why These Related Problems?

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