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Finding the Third Proportional to 2,220,750 and 4,822,024.50

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Solution

The third proportional to 2,220,750 and 4,822,024.50 is: 10,470,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,750 : 4,822,024.50 = 4,822,024.50 : x
  2. Step 2: Convert to fraction form
    2,220,750/4,822,024.50 = 4,822,024.50/x
  3. Step 3: Cross multiply
    2,220,750x = 4,822,024.50 × 4,822,024.50
  4. Step 4: Simplify right side
    2,220,750x = 23,251,920,278,600.25
  5. Step 5: Solve for x
    x = 23,251,920,278,600.25/2,220,750
  6. Step 6: Final answer
    x = 10,470,300.70

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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.