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Finding the Third Proportional to 1,469,358 and 2,269,543.50

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Solution

The third proportional to 1,469,358 and 2,269,543.50 is: 3,505,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,358 : 2,269,543.50 = 2,269,543.50 : x
  2. Step 2: Convert to fraction form
    1,469,358/2,269,543.50 = 2,269,543.50/x
  3. Step 3: Cross multiply
    1,469,358x = 2,269,543.50 × 2,269,543.50
  4. Step 4: Simplify right side
    1,469,358x = 5,150,827,698,392.25
  5. Step 5: Solve for x
    x = 5,150,827,698,392.25/1,469,358
  6. Step 6: Final answer
    x = 3,505,495.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.