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Finding the Third Proportional to 769,493 and 1,670,411

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Solution

The third proportional to 769,493 and 1,670,411 is: 3,626,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,493 : 1,670,411 = 1,670,411 : x
  2. Step 2: Convert to fraction form
    769,493/1,670,411 = 1,670,411/x
  3. Step 3: Cross multiply
    769,493x = 1,670,411 × 1,670,411
  4. Step 4: Simplify right side
    769,493x = 2,790,272,908,921
  5. Step 5: Solve for x
    x = 2,790,272,908,921/769,493
  6. Step 6: Final answer
    x = 3,626,118.64

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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.