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Finding the Third Proportional to 2,001,780 and 3,102,212

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Solution

The third proportional to 2,001,780 and 3,102,212 is: 4,807,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,780 : 3,102,212 = 3,102,212 : x
  2. Step 2: Convert to fraction form
    2,001,780/3,102,212 = 3,102,212/x
  3. Step 3: Cross multiply
    2,001,780x = 3,102,212 × 3,102,212
  4. Step 4: Simplify right side
    2,001,780x = 9,623,719,292,944
  5. Step 5: Solve for x
    x = 9,623,719,292,944/2,001,780
  6. Step 6: Final answer
    x = 4,807,580.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.