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Finding the Third Proportional to 624,024 and 1,472,580

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Solution

The third proportional to 624,024 and 1,472,580 is: 3,475,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,024 : 1,472,580 = 1,472,580 : x
  2. Step 2: Convert to fraction form
    624,024/1,472,580 = 1,472,580/x
  3. Step 3: Cross multiply
    624,024x = 1,472,580 × 1,472,580
  4. Step 4: Simplify right side
    624,024x = 2,168,491,856,400
  5. Step 5: Solve for x
    x = 2,168,491,856,400/624,024
  6. Step 6: Final answer
    x = 3,475,013.55

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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.