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Finding the Third Proportional to 2,811,780 and 5,822,940

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Solution

The third proportional to 2,811,780 and 5,822,940 is: 12,058,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,780 : 5,822,940 = 5,822,940 : x
  2. Step 2: Convert to fraction form
    2,811,780/5,822,940 = 5,822,940/x
  3. Step 3: Cross multiply
    2,811,780x = 5,822,940 × 5,822,940
  4. Step 4: Simplify right side
    2,811,780x = 33,906,630,243,600
  5. Step 5: Solve for x
    x = 33,906,630,243,600/2,811,780
  6. Step 6: Final answer
    x = 12,058,777.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.