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Finding the Third Proportional to 742,616 and 1,624,336

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Solution

The third proportional to 742,616 and 1,624,336 is: 3,552,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,616 : 1,624,336 = 1,624,336 : x
  2. Step 2: Convert to fraction form
    742,616/1,624,336 = 1,624,336/x
  3. Step 3: Cross multiply
    742,616x = 1,624,336 × 1,624,336
  4. Step 4: Simplify right side
    742,616x = 2,638,467,440,896
  5. Step 5: Solve for x
    x = 2,638,467,440,896/742,616
  6. Step 6: Final answer
    x = 3,552,936.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.