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Finding the Third Proportional to 2,021,217 and 3,031,824

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Solution

The third proportional to 2,021,217 and 3,031,824 is: 4,547,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,217 : 3,031,824 = 3,031,824 : x
  2. Step 2: Convert to fraction form
    2,021,217/3,031,824 = 3,031,824/x
  3. Step 3: Cross multiply
    2,021,217x = 3,031,824 × 3,031,824
  4. Step 4: Simplify right side
    2,021,217x = 9,191,956,766,976
  5. Step 5: Solve for x
    x = 9,191,956,766,976/2,021,217
  6. Step 6: Final answer
    x = 4,547,733.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.