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Finding the Third Proportional to 601,823,476 and 831,583,362

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Solution

The third proportional to 601,823,476 and 831,583,362 is: 1,149,059,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,823,476 : 831,583,362 = 831,583,362 : x
  2. Step 2: Convert to fraction form
    601,823,476/831,583,362 = 831,583,362/x
  3. Step 3: Cross multiply
    601,823,476x = 831,583,362 × 831,583,362
  4. Step 4: Simplify right side
    601,823,476x = 691,530,887,955,223,040
  5. Step 5: Solve for x
    x = 691,530,887,955,223,040/601,823,476
  6. Step 6: Final answer
    x = 1,149,059,343.03

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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.