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Finding the Third Proportional to 543,415.50 and 1,191,807

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Solution

The third proportional to 543,415.50 and 1,191,807 is: 2,613,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,415.50 : 1,191,807 = 1,191,807 : x
  2. Step 2: Convert to fraction form
    543,415.50/1,191,807 = 1,191,807/x
  3. Step 3: Cross multiply
    543,415.50x = 1,191,807 × 1,191,807
  4. Step 4: Simplify right side
    543,415.50x = 1,420,403,925,249
  5. Step 5: Solve for x
    x = 1,420,403,925,249/543,415.50
  6. Step 6: Final answer
    x = 2,613,845.07

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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.