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Finding the Third Proportional to 3,223,109.50 and 4,834,664

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Solution

The third proportional to 3,223,109.50 and 4,834,664 is: 7,251,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223,109.50 : 4,834,664 = 4,834,664 : x
  2. Step 2: Convert to fraction form
    3,223,109.50/4,834,664 = 4,834,664/x
  3. Step 3: Cross multiply
    3,223,109.50x = 4,834,664 × 4,834,664
  4. Step 4: Simplify right side
    3,223,109.50x = 23,373,975,992,896
  5. Step 5: Solve for x
    x = 23,373,975,992,896/3,223,109.50
  6. Step 6: Final answer
    x = 7,251,995.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.