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Finding the Third Proportional to 543,836.53 and 1,184,447.81

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Solution

The third proportional to 543,836.53 and 1,184,447.81 is: 2,579,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,836.53 : 1,184,447.81 = 1,184,447.81 : x
  2. Step 2: Convert to fraction form
    543,836.53/1,184,447.81 = 1,184,447.81/x
  3. Step 3: Cross multiply
    543,836.53x = 1,184,447.81 × 1,184,447.81
  4. Step 4: Simplify right side
    543,836.53x = 1,402,916,620,536.04
  5. Step 5: Solve for x
    x = 1,402,916,620,536.04/543,836.53
  6. Step 6: Final answer
    x = 2,579,666.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.