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Finding the Third Proportional to 389,039,936 and 840,196,274

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Solution

The third proportional to 389,039,936 and 840,196,274 is: 1,814,543,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,039,936 : 840,196,274 = 840,196,274 : x
  2. Step 2: Convert to fraction form
    389,039,936/840,196,274 = 840,196,274/x
  3. Step 3: Cross multiply
    389,039,936x = 840,196,274 × 840,196,274
  4. Step 4: Simplify right side
    389,039,936x = 705,929,778,843,483,136
  5. Step 5: Solve for x
    x = 705,929,778,843,483,136/389,039,936
  6. Step 6: Final answer
    x = 1,814,543,221.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.