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Finding the Third Proportional to 1,914,987 and 2,912,269.50

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Solution

The third proportional to 1,914,987 and 2,912,269.50 is: 4,428,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,987 : 2,912,269.50 = 2,912,269.50 : x
  2. Step 2: Convert to fraction form
    1,914,987/2,912,269.50 = 2,912,269.50/x
  3. Step 3: Cross multiply
    1,914,987x = 2,912,269.50 × 2,912,269.50
  4. Step 4: Simplify right side
    1,914,987x = 8,481,313,640,630.25
  5. Step 5: Solve for x
    x = 8,481,313,640,630.25/1,914,987
  6. Step 6: Final answer
    x = 4,428,914.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.