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Finding the Third Proportional to 789,567,204 and 1,710,796,254

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Solution

The third proportional to 789,567,204 and 1,710,796,254 is: 3,706,871,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,567,204 : 1,710,796,254 = 1,710,796,254 : x
  2. Step 2: Convert to fraction form
    789,567,204/1,710,796,254 = 1,710,796,254/x
  3. Step 3: Cross multiply
    789,567,204x = 1,710,796,254 × 1,710,796,254
  4. Step 4: Simplify right side
    789,567,204x = 2,926,823,822,700,432,384
  5. Step 5: Solve for x
    x = 2,926,823,822,700,432,384/789,567,204
  6. Step 6: Final answer
    x = 3,706,871,065.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.