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Finding the Third Proportional to 526,357 and 1,157,666

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Solution

The third proportional to 526,357 and 1,157,666 is: 2,546,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,357 : 1,157,666 = 1,157,666 : x
  2. Step 2: Convert to fraction form
    526,357/1,157,666 = 1,157,666/x
  3. Step 3: Cross multiply
    526,357x = 1,157,666 × 1,157,666
  4. Step 4: Simplify right side
    526,357x = 1,340,190,567,556
  5. Step 5: Solve for x
    x = 1,340,190,567,556/526,357
  6. Step 6: Final answer
    x = 2,546,162.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.