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Finding the Third Proportional to 1,489,421 and 3,214,971

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Solution

The third proportional to 1,489,421 and 3,214,971 is: 6,939,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,421 : 3,214,971 = 3,214,971 : x
  2. Step 2: Convert to fraction form
    1,489,421/3,214,971 = 3,214,971/x
  3. Step 3: Cross multiply
    1,489,421x = 3,214,971 × 3,214,971
  4. Step 4: Simplify right side
    1,489,421x = 10,336,038,530,841
  5. Step 5: Solve for x
    x = 10,336,038,530,841/1,489,421
  6. Step 6: Final answer
    x = 6,939,635.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.