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Finding the Third Proportional to 811,251 and 1,272,560

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Solution

The third proportional to 811,251 and 1,272,560 is: 1,996,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,251 : 1,272,560 = 1,272,560 : x
  2. Step 2: Convert to fraction form
    811,251/1,272,560 = 1,272,560/x
  3. Step 3: Cross multiply
    811,251x = 1,272,560 × 1,272,560
  4. Step 4: Simplify right side
    811,251x = 1,619,408,953,600
  5. Step 5: Solve for x
    x = 1,619,408,953,600/811,251
  6. Step 6: Final answer
    x = 1,996,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.