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Finding the Third Proportional to 1,292,524 and 2,760,984

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Solution

The third proportional to 1,292,524 and 2,760,984 is: 5,897,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,524 : 2,760,984 = 2,760,984 : x
  2. Step 2: Convert to fraction form
    1,292,524/2,760,984 = 2,760,984/x
  3. Step 3: Cross multiply
    1,292,524x = 2,760,984 × 2,760,984
  4. Step 4: Simplify right side
    1,292,524x = 7,623,032,648,256
  5. Step 5: Solve for x
    x = 7,623,032,648,256/1,292,524
  6. Step 6: Final answer
    x = 5,897,788.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.