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Finding the Third Proportional to 2,210,182.50 and 4,743,282

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Solution

The third proportional to 2,210,182.50 and 4,743,282 is: 10,179,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,182.50 : 4,743,282 = 4,743,282 : x
  2. Step 2: Convert to fraction form
    2,210,182.50/4,743,282 = 4,743,282/x
  3. Step 3: Cross multiply
    2,210,182.50x = 4,743,282 × 4,743,282
  4. Step 4: Simplify right side
    2,210,182.50x = 22,498,724,131,524
  5. Step 5: Solve for x
    x = 22,498,724,131,524/2,210,182.50
  6. Step 6: Final answer
    x = 10,179,577.54

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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.