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Finding the Third Proportional to 819,004 and 1,239,962

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Solution

The third proportional to 819,004 and 1,239,962 is: 1,877,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,004 : 1,239,962 = 1,239,962 : x
  2. Step 2: Convert to fraction form
    819,004/1,239,962 = 1,239,962/x
  3. Step 3: Cross multiply
    819,004x = 1,239,962 × 1,239,962
  4. Step 4: Simplify right side
    819,004x = 1,537,505,761,444
  5. Step 5: Solve for x
    x = 1,537,505,761,444/819,004
  6. Step 6: Final answer
    x = 1,877,287.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.