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Finding the Third Proportional to 624,600 and 1,388,944

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Solution

The third proportional to 624,600 and 1,388,944 is: 3,088,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,600 : 1,388,944 = 1,388,944 : x
  2. Step 2: Convert to fraction form
    624,600/1,388,944 = 1,388,944/x
  3. Step 3: Cross multiply
    624,600x = 1,388,944 × 1,388,944
  4. Step 4: Simplify right side
    624,600x = 1,929,165,435,136
  5. Step 5: Solve for x
    x = 1,929,165,435,136/624,600
  6. Step 6: Final answer
    x = 3,088,641.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.