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Finding the Third Proportional to 2,100,156 and 4,580,427

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Solution

The third proportional to 2,100,156 and 4,580,427 is: 9,989,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,156 : 4,580,427 = 4,580,427 : x
  2. Step 2: Convert to fraction form
    2,100,156/4,580,427 = 4,580,427/x
  3. Step 3: Cross multiply
    2,100,156x = 4,580,427 × 4,580,427
  4. Step 4: Simplify right side
    2,100,156x = 20,980,311,502,329
  5. Step 5: Solve for x
    x = 20,980,311,502,329/2,100,156
  6. Step 6: Final answer
    x = 9,989,882.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.