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Finding the Third Proportional to 624,032 and 1,472,600

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Solution

The third proportional to 624,032 and 1,472,600 is: 3,475,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,032 : 1,472,600 = 1,472,600 : x
  2. Step 2: Convert to fraction form
    624,032/1,472,600 = 1,472,600/x
  3. Step 3: Cross multiply
    624,032x = 1,472,600 × 1,472,600
  4. Step 4: Simplify right side
    624,032x = 2,168,550,760,000
  5. Step 5: Solve for x
    x = 2,168,550,760,000/624,032
  6. Step 6: Final answer
    x = 3,475,063.39

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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.