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Finding the Third Proportional to 654,330 and 959,895

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Solution

The third proportional to 654,330 and 959,895 is: 1,408,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,330 : 959,895 = 959,895 : x
  2. Step 2: Convert to fraction form
    654,330/959,895 = 959,895/x
  3. Step 3: Cross multiply
    654,330x = 959,895 × 959,895
  4. Step 4: Simplify right side
    654,330x = 921,398,411,025
  5. Step 5: Solve for x
    x = 921,398,411,025/654,330
  6. Step 6: Final answer
    x = 1,408,155.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.