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Finding the Third Proportional to 1,380,295.50 and 2,827,524

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Solution

The third proportional to 1,380,295.50 and 2,827,524 is: 5,792,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,295.50 : 2,827,524 = 2,827,524 : x
  2. Step 2: Convert to fraction form
    1,380,295.50/2,827,524 = 2,827,524/x
  3. Step 3: Cross multiply
    1,380,295.50x = 2,827,524 × 2,827,524
  4. Step 4: Simplify right side
    1,380,295.50x = 7,994,891,970,576
  5. Step 5: Solve for x
    x = 7,994,891,970,576/1,380,295.50
  6. Step 6: Final answer
    x = 5,792,159.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.