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Finding the Third Proportional to 543,726 and 1,159,893

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Solution

The third proportional to 543,726 and 1,159,893 is: 2,474,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,726 : 1,159,893 = 1,159,893 : x
  2. Step 2: Convert to fraction form
    543,726/1,159,893 = 1,159,893/x
  3. Step 3: Cross multiply
    543,726x = 1,159,893 × 1,159,893
  4. Step 4: Simplify right side
    543,726x = 1,345,351,771,449
  5. Step 5: Solve for x
    x = 1,345,351,771,449/543,726
  6. Step 6: Final answer
    x = 2,474,319.37

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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.