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Finding the Third Proportional to 688,180 and 1,619,341

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Solution

The third proportional to 688,180 and 1,619,341 is: 3,810,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,180 : 1,619,341 = 1,619,341 : x
  2. Step 2: Convert to fraction form
    688,180/1,619,341 = 1,619,341/x
  3. Step 3: Cross multiply
    688,180x = 1,619,341 × 1,619,341
  4. Step 4: Simplify right side
    688,180x = 2,622,265,274,281
  5. Step 5: Solve for x
    x = 2,622,265,274,281/688,180
  6. Step 6: Final answer
    x = 3,810,435.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.