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Finding the Third Proportional to 614,728 and 949,355

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Solution

The third proportional to 614,728 and 949,355 is: 1,466,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,728 : 949,355 = 949,355 : x
  2. Step 2: Convert to fraction form
    614,728/949,355 = 949,355/x
  3. Step 3: Cross multiply
    614,728x = 949,355 × 949,355
  4. Step 4: Simplify right side
    614,728x = 901,274,916,025
  5. Step 5: Solve for x
    x = 901,274,916,025/614,728
  6. Step 6: Final answer
    x = 1,466,136.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.