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Finding the Third Proportional to 601,823,246 and 831,583,008

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Solution

The third proportional to 601,823,246 and 831,583,008 is: 1,149,058,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,823,246 : 831,583,008 = 831,583,008 : x
  2. Step 2: Convert to fraction form
    601,823,246/831,583,008 = 831,583,008/x
  3. Step 3: Cross multiply
    601,823,246x = 831,583,008 × 831,583,008
  4. Step 4: Simplify right side
    601,823,246x = 691,530,299,194,328,064
  5. Step 5: Solve for x
    x = 691,530,299,194,328,064/601,823,246
  6. Step 6: Final answer
    x = 1,149,058,803.88

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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.