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Finding the Third Proportional to 2,220,914.50 and 4,822,367

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Solution

The third proportional to 2,220,914.50 and 4,822,367 is: 10,471,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,914.50 : 4,822,367 = 4,822,367 : x
  2. Step 2: Convert to fraction form
    2,220,914.50/4,822,367 = 4,822,367/x
  3. Step 3: Cross multiply
    2,220,914.50x = 4,822,367 × 4,822,367
  4. Step 4: Simplify right side
    2,220,914.50x = 23,255,223,482,689
  5. Step 5: Solve for x
    x = 23,255,223,482,689/2,220,914.50
  6. Step 6: Final answer
    x = 10,471,012.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.