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Finding the Third Proportional to 1,335,991.50 and 2,911,747.50

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Solution

The third proportional to 1,335,991.50 and 2,911,747.50 is: 6,346,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,991.50 : 2,911,747.50 = 2,911,747.50 : x
  2. Step 2: Convert to fraction form
    1,335,991.50/2,911,747.50 = 2,911,747.50/x
  3. Step 3: Cross multiply
    1,335,991.50x = 2,911,747.50 × 2,911,747.50
  4. Step 4: Simplify right side
    1,335,991.50x = 8,478,273,503,756.25
  5. Step 5: Solve for x
    x = 8,478,273,503,756.25/1,335,991.50
  6. Step 6: Final answer
    x = 6,346,053.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.