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Finding the Third Proportional to 543,838 and 1,166,408

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Solution

The third proportional to 543,838 and 1,166,408 is: 2,501,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 1,166,408 = 1,166,408 : x
  2. Step 2: Convert to fraction form
    543,838/1,166,408 = 1,166,408/x
  3. Step 3: Cross multiply
    543,838x = 1,166,408 × 1,166,408
  4. Step 4: Simplify right side
    543,838x = 1,360,507,622,464
  5. Step 5: Solve for x
    x = 1,360,507,622,464/543,838
  6. Step 6: Final answer
    x = 2,501,678.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.