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Finding the Third Proportional to 543,632 and 1,157,248

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Solution

The third proportional to 543,632 and 1,157,248 is: 2,463,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,632 : 1,157,248 = 1,157,248 : x
  2. Step 2: Convert to fraction form
    543,632/1,157,248 = 1,157,248/x
  3. Step 3: Cross multiply
    543,632x = 1,157,248 × 1,157,248
  4. Step 4: Simplify right side
    543,632x = 1,339,222,933,504
  5. Step 5: Solve for x
    x = 1,339,222,933,504/543,632
  6. Step 6: Final answer
    x = 2,463,473.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.