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Finding the Third Proportional to 2,224,914.75 and 4,785,169.50

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Solution

The third proportional to 2,224,914.75 and 4,785,169.50 is: 10,291,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,914.75 : 4,785,169.50 = 4,785,169.50 : x
  2. Step 2: Convert to fraction form
    2,224,914.75/4,785,169.50 = 4,785,169.50/x
  3. Step 3: Cross multiply
    2,224,914.75x = 4,785,169.50 × 4,785,169.50
  4. Step 4: Simplify right side
    2,224,914.75x = 22,897,847,143,730.25
  5. Step 5: Solve for x
    x = 22,897,847,143,730.25/2,224,914.75
  6. Step 6: Final answer
    x = 10,291,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.