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Finding the Third Proportional to 624,033 and 1,216,962

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Solution

The third proportional to 624,033 and 1,216,962 is: 2,373,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,033 : 1,216,962 = 1,216,962 : x
  2. Step 2: Convert to fraction form
    624,033/1,216,962 = 1,216,962/x
  3. Step 3: Cross multiply
    624,033x = 1,216,962 × 1,216,962
  4. Step 4: Simplify right side
    624,033x = 1,480,996,509,444
  5. Step 5: Solve for x
    x = 1,480,996,509,444/624,033
  6. Step 6: Final answer
    x = 2,373,266.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.