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Finding the Third Proportional to 2,034,882 and 4,237,221

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Solution

The third proportional to 2,034,882 and 4,237,221 is: 8,823,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,882 : 4,237,221 = 4,237,221 : x
  2. Step 2: Convert to fraction form
    2,034,882/4,237,221 = 4,237,221/x
  3. Step 3: Cross multiply
    2,034,882x = 4,237,221 × 4,237,221
  4. Step 4: Simplify right side
    2,034,882x = 17,954,041,802,841
  5. Step 5: Solve for x
    x = 17,954,041,802,841/2,034,882
  6. Step 6: Final answer
    x = 8,823,136.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.