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Finding the Third Proportional to 523,677 and 1,127,544

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Solution

The third proportional to 523,677 and 1,127,544 is: 2,427,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,677 : 1,127,544 = 1,127,544 : x
  2. Step 2: Convert to fraction form
    523,677/1,127,544 = 1,127,544/x
  3. Step 3: Cross multiply
    523,677x = 1,127,544 × 1,127,544
  4. Step 4: Simplify right side
    523,677x = 1,271,355,471,936
  5. Step 5: Solve for x
    x = 1,271,355,471,936/523,677
  6. Step 6: Final answer
    x = 2,427,747.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.