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Finding the Third Proportional to 761,493 and 1,010,811

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Solution

The third proportional to 761,493 and 1,010,811 is: 1,341,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,493 : 1,010,811 = 1,010,811 : x
  2. Step 2: Convert to fraction form
    761,493/1,010,811 = 1,010,811/x
  3. Step 3: Cross multiply
    761,493x = 1,010,811 × 1,010,811
  4. Step 4: Simplify right side
    761,493x = 1,021,738,877,721
  5. Step 5: Solve for x
    x = 1,021,738,877,721/761,493
  6. Step 6: Final answer
    x = 1,341,757.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.