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Finding the Third Proportional to 1,260,206,343 and 1,820,623,789

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Solution

The third proportional to 1,260,206,343 and 1,820,623,789 is: 2,630,260,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,206,343 : 1,820,623,789 = 1,820,623,789 : x
  2. Step 2: Convert to fraction form
    1,260,206,343/1,820,623,789 = 1,820,623,789/x
  3. Step 3: Cross multiply
    1,260,206,343x = 1,820,623,789 × 1,820,623,789
  4. Step 4: Simplify right side
    1,260,206,343x = 3,314,670,981,072,716,288
  5. Step 5: Solve for x
    x = 3,314,670,981,072,716,288/1,260,206,343
  6. Step 6: Final answer
    x = 2,630,260,512.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.