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Finding the Third Proportional to 562,494.38 and 1,231,827.75

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Solution

The third proportional to 562,494.38 and 1,231,827.75 is: 2,697,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,494.38 : 1,231,827.75 = 1,231,827.75 : x
  2. Step 2: Convert to fraction form
    562,494.38/1,231,827.75 = 1,231,827.75/x
  3. Step 3: Cross multiply
    562,494.38x = 1,231,827.75 × 1,231,827.75
  4. Step 4: Simplify right side
    562,494.38x = 1,517,399,605,670.06
  5. Step 5: Solve for x
    x = 1,517,399,605,670.06/562,494.38
  6. Step 6: Final answer
    x = 2,697,626.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.