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Finding the Third Proportional to 1,212,150 and 2,651,473.50

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Solution

The third proportional to 1,212,150 and 2,651,473.50 is: 5,799,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,150 : 2,651,473.50 = 2,651,473.50 : x
  2. Step 2: Convert to fraction form
    1,212,150/2,651,473.50 = 2,651,473.50/x
  3. Step 3: Cross multiply
    1,212,150x = 2,651,473.50 × 2,651,473.50
  4. Step 4: Simplify right side
    1,212,150x = 7,030,311,721,202.25
  5. Step 5: Solve for x
    x = 7,030,311,721,202.25/1,212,150
  6. Step 6: Final answer
    x = 5,799,869.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.