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Finding the Third Proportional to 1,459,629 and 2,324,355

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Solution

The third proportional to 1,459,629 and 2,324,355 is: 3,701,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,629 : 2,324,355 = 2,324,355 : x
  2. Step 2: Convert to fraction form
    1,459,629/2,324,355 = 2,324,355/x
  3. Step 3: Cross multiply
    1,459,629x = 2,324,355 × 2,324,355
  4. Step 4: Simplify right side
    1,459,629x = 5,402,626,166,025
  5. Step 5: Solve for x
    x = 5,402,626,166,025/1,459,629
  6. Step 6: Final answer
    x = 3,701,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.