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Finding the Third Proportional to 601,823,482 and 831,583,371

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Solution

The third proportional to 601,823,482 and 831,583,371 is: 1,149,059,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,823,482 : 831,583,371 = 831,583,371 : x
  2. Step 2: Convert to fraction form
    601,823,482/831,583,371 = 831,583,371/x
  3. Step 3: Cross multiply
    601,823,482x = 831,583,371 × 831,583,371
  4. Step 4: Simplify right side
    601,823,482x = 691,530,902,923,723,648
  5. Step 5: Solve for x
    x = 691,530,902,923,723,648/601,823,482
  6. Step 6: Final answer
    x = 1,149,059,356.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.