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Finding the Third Proportional to 1,001,540 and 2,122,272

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Solution

The third proportional to 1,001,540 and 2,122,272 is: 4,497,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,540 : 2,122,272 = 2,122,272 : x
  2. Step 2: Convert to fraction form
    1,001,540/2,122,272 = 2,122,272/x
  3. Step 3: Cross multiply
    1,001,540x = 2,122,272 × 2,122,272
  4. Step 4: Simplify right side
    1,001,540x = 4,504,038,441,984
  5. Step 5: Solve for x
    x = 4,504,038,441,984/1,001,540
  6. Step 6: Final answer
    x = 4,497,112.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.