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Finding the Third Proportional to 2,096,550 and 4,585,671

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Solution

The third proportional to 2,096,550 and 4,585,671 is: 10,029,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,550 : 4,585,671 = 4,585,671 : x
  2. Step 2: Convert to fraction form
    2,096,550/4,585,671 = 4,585,671/x
  3. Step 3: Cross multiply
    2,096,550x = 4,585,671 × 4,585,671
  4. Step 4: Simplify right side
    2,096,550x = 21,028,378,520,241
  5. Step 5: Solve for x
    x = 21,028,378,520,241/2,096,550
  6. Step 6: Final answer
    x = 10,029,991.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.