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Finding the Third Proportional to 415,556 and 909,933

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Solution

The third proportional to 415,556 and 909,933 is: 1,992,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,556 : 909,933 = 909,933 : x
  2. Step 2: Convert to fraction form
    415,556/909,933 = 909,933/x
  3. Step 3: Cross multiply
    415,556x = 909,933 × 909,933
  4. Step 4: Simplify right side
    415,556x = 827,978,064,489
  5. Step 5: Solve for x
    x = 827,978,064,489/415,556
  6. Step 6: Final answer
    x = 1,992,458.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.