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Finding the Third Proportional to 624,400 and 1,473,484

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Solution

The third proportional to 624,400 and 1,473,484 is: 3,477,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,400 : 1,473,484 = 1,473,484 : x
  2. Step 2: Convert to fraction form
    624,400/1,473,484 = 1,473,484/x
  3. Step 3: Cross multiply
    624,400x = 1,473,484 × 1,473,484
  4. Step 4: Simplify right side
    624,400x = 2,171,155,098,256
  5. Step 5: Solve for x
    x = 2,171,155,098,256/624,400
  6. Step 6: Final answer
    x = 3,477,186.26

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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.