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Finding the Third Proportional to 2,010,872 and 4,309,600

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Solution

The third proportional to 2,010,872 and 4,309,600 is: 9,236,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,872 : 4,309,600 = 4,309,600 : x
  2. Step 2: Convert to fraction form
    2,010,872/4,309,600 = 4,309,600/x
  3. Step 3: Cross multiply
    2,010,872x = 4,309,600 × 4,309,600
  4. Step 4: Simplify right side
    2,010,872x = 18,572,652,160,000
  5. Step 5: Solve for x
    x = 18,572,652,160,000/2,010,872
  6. Step 6: Final answer
    x = 9,236,118.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.