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Finding the Third Proportional to 766,939 and 1,651,610

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Solution

The third proportional to 766,939 and 1,651,610 is: 3,556,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,939 : 1,651,610 = 1,651,610 : x
  2. Step 2: Convert to fraction form
    766,939/1,651,610 = 1,651,610/x
  3. Step 3: Cross multiply
    766,939x = 1,651,610 × 1,651,610
  4. Step 4: Simplify right side
    766,939x = 2,727,815,592,100
  5. Step 5: Solve for x
    x = 2,727,815,592,100/766,939
  6. Step 6: Final answer
    x = 3,556,756.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.