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Finding the Third Proportional to 624,410 and 1,473,505

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Solution

The third proportional to 624,410 and 1,473,505 is: 3,477,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,410 : 1,473,505 = 1,473,505 : x
  2. Step 2: Convert to fraction form
    624,410/1,473,505 = 1,473,505/x
  3. Step 3: Cross multiply
    624,410x = 1,473,505 × 1,473,505
  4. Step 4: Simplify right side
    624,410x = 2,171,216,985,025
  5. Step 5: Solve for x
    x = 2,171,216,985,025/624,410
  6. Step 6: Final answer
    x = 3,477,229.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.