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Finding the Third Proportional to 624,509 and 1,473,753

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Solution

The third proportional to 624,509 and 1,473,753 is: 3,477,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,509 : 1,473,753 = 1,473,753 : x
  2. Step 2: Convert to fraction form
    624,509/1,473,753 = 1,473,753/x
  3. Step 3: Cross multiply
    624,509x = 1,473,753 × 1,473,753
  4. Step 4: Simplify right side
    624,509x = 2,171,947,905,009
  5. Step 5: Solve for x
    x = 2,171,947,905,009/624,509
  6. Step 6: Final answer
    x = 3,477,848.85

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