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Finding the Third Proportional to 769,491 and 1,670,407

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Solution

The third proportional to 769,491 and 1,670,407 is: 3,626,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,491 : 1,670,407 = 1,670,407 : x
  2. Step 2: Convert to fraction form
    769,491/1,670,407 = 1,670,407/x
  3. Step 3: Cross multiply
    769,491x = 1,670,407 × 1,670,407
  4. Step 4: Simplify right side
    769,491x = 2,790,259,545,649
  5. Step 5: Solve for x
    x = 2,790,259,545,649/769,491
  6. Step 6: Final answer
    x = 3,626,110.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.