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Finding the Third Proportional to 2,909,214 and 6,119,910

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Solution

The third proportional to 2,909,214 and 6,119,910 is: 12,874,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,214 : 6,119,910 = 6,119,910 : x
  2. Step 2: Convert to fraction form
    2,909,214/6,119,910 = 6,119,910/x
  3. Step 3: Cross multiply
    2,909,214x = 6,119,910 × 6,119,910
  4. Step 4: Simplify right side
    2,909,214x = 37,453,298,408,100
  5. Step 5: Solve for x
    x = 37,453,298,408,100/2,909,214
  6. Step 6: Final answer
    x = 12,874,026.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.