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Finding the Third Proportional to 819,024 and 1,239,984

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Solution

The third proportional to 819,024 and 1,239,984 is: 1,877,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,024 : 1,239,984 = 1,239,984 : x
  2. Step 2: Convert to fraction form
    819,024/1,239,984 = 1,239,984/x
  3. Step 3: Cross multiply
    819,024x = 1,239,984 × 1,239,984
  4. Step 4: Simplify right side
    819,024x = 1,537,560,320,256
  5. Step 5: Solve for x
    x = 1,537,560,320,256/819,024
  6. Step 6: Final answer
    x = 1,877,308.02

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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.