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Finding the Third Proportional to 526,666 and 1,133,256

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Solution

The third proportional to 526,666 and 1,133,256 is: 2,438,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,666 : 1,133,256 = 1,133,256 : x
  2. Step 2: Convert to fraction form
    526,666/1,133,256 = 1,133,256/x
  3. Step 3: Cross multiply
    526,666x = 1,133,256 × 1,133,256
  4. Step 4: Simplify right side
    526,666x = 1,284,269,161,536
  5. Step 5: Solve for x
    x = 1,284,269,161,536/526,666
  6. Step 6: Final answer
    x = 2,438,488.84

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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.