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Finding the Third Proportional to 2,034,532 and 4,418,632

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Solution

The third proportional to 2,034,532 and 4,418,632 is: 9,596,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,532 : 4,418,632 = 4,418,632 : x
  2. Step 2: Convert to fraction form
    2,034,532/4,418,632 = 4,418,632/x
  3. Step 3: Cross multiply
    2,034,532x = 4,418,632 × 4,418,632
  4. Step 4: Simplify right side
    2,034,532x = 19,524,308,751,424
  5. Step 5: Solve for x
    x = 19,524,308,751,424/2,034,532
  6. Step 6: Final answer
    x = 9,596,461.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.