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Finding the Third Proportional to 831,724 and 1,693,595

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Solution

The third proportional to 831,724 and 1,693,595 is: 3,448,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,724 : 1,693,595 = 1,693,595 : x
  2. Step 2: Convert to fraction form
    831,724/1,693,595 = 1,693,595/x
  3. Step 3: Cross multiply
    831,724x = 1,693,595 × 1,693,595
  4. Step 4: Simplify right side
    831,724x = 2,868,264,024,025
  5. Step 5: Solve for x
    x = 2,868,264,024,025/831,724
  6. Step 6: Final answer
    x = 3,448,576.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.