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Finding the Third Proportional to 1,026,228 and 1,609,830

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Solution

The third proportional to 1,026,228 and 1,609,830 is: 2,525,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,228 : 1,609,830 = 1,609,830 : x
  2. Step 2: Convert to fraction form
    1,026,228/1,609,830 = 1,609,830/x
  3. Step 3: Cross multiply
    1,026,228x = 1,609,830 × 1,609,830
  4. Step 4: Simplify right side
    1,026,228x = 2,591,552,628,900
  5. Step 5: Solve for x
    x = 2,591,552,628,900/1,026,228
  6. Step 6: Final answer
    x = 2,525,318.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.