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Finding the Third Proportional to 624,420 and 1,473,534

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Solution

The third proportional to 624,420 and 1,473,534 is: 3,477,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,420 : 1,473,534 = 1,473,534 : x
  2. Step 2: Convert to fraction form
    624,420/1,473,534 = 1,473,534/x
  3. Step 3: Cross multiply
    624,420x = 1,473,534 × 1,473,534
  4. Step 4: Simplify right side
    624,420x = 2,171,302,449,156
  5. Step 5: Solve for x
    x = 2,171,302,449,156/624,420
  6. Step 6: Final answer
    x = 3,477,310.86

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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.