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Finding the Third Proportional to 2,030,825 and 4,460,169

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Solution

The third proportional to 2,030,825 and 4,460,169 is: 9,795,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,825 : 4,460,169 = 4,460,169 : x
  2. Step 2: Convert to fraction form
    2,030,825/4,460,169 = 4,460,169/x
  3. Step 3: Cross multiply
    2,030,825x = 4,460,169 × 4,460,169
  4. Step 4: Simplify right side
    2,030,825x = 19,893,107,508,561
  5. Step 5: Solve for x
    x = 19,893,107,508,561/2,030,825
  6. Step 6: Final answer
    x = 9,795,579.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.