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Finding the Third Proportional to 1,980,949 and 2,976,153

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Solution

The third proportional to 1,980,949 and 2,976,153 is: 4,471,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980,949 : 2,976,153 = 2,976,153 : x
  2. Step 2: Convert to fraction form
    1,980,949/2,976,153 = 2,976,153/x
  3. Step 3: Cross multiply
    1,980,949x = 2,976,153 × 2,976,153
  4. Step 4: Simplify right side
    1,980,949x = 8,857,486,679,409
  5. Step 5: Solve for x
    x = 8,857,486,679,409/1,980,949
  6. Step 6: Final answer
    x = 4,471,335.04

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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.